Introduction to least common multiple of three numbers:
The multiple is defined as the one number is multiplied with another other number. If the two numbers has common multiple means it is used to find out the least common multiple for operations. We can find the least common multiple of three numbers same as LCM of two numbers. Now we are going to see about how to determine the LCM of three numbers.
Explanation for least Common Multiple of three Numbers
Least common multiple of three numbers in math:
The number’s least common multiple is represented as LCM(a, b, c). The LCM calculation is done by the prime factorization.
If we want to find the least common multiple of three numbers means first find out the greatest common factor. Then, that common factor is multiplied with numerator values of fraction. The common factor is divide the resultant value.
More about least Common Multiple of three Numbers
Example problems for least common multiple of three numbers:
Problem 1: Determine the least common multiple of given numbers and do the addition operation.
`2/3` , `1/6` and `5/12` .
Answer:
The given fractions are `2/3` , `1/6` and `5/12` .
Add the given fractions as `2/3` + `1/6` + `5/12` .
The least common multiple of 3, 6 and 12 numbers is 12.
The LCM is multiplied with numerator values as `( 2 * 4 + 1 * 2 + 5)/12` .
The result of addition is `( 8 + 2 + 5)/12` = `15/12` .
We can simplify the above result as `5/4` .
Problem 2: Do the subtraction operation using least common multiple with `7/4` , `5/6` and `1/8` .
Answer:
The given fractions are `7/4` , `5/6` and `1/8` .
Subtract the fractions as `7/4` – `5/6` – `1/8` .
The least common multiple of three numbers are 24.
The LCM is multiplied with numerator values as `( 7 * 6 + 5 * 4 + 1 * 3 )/24` .
The result of subtraction is `( 32 + 20 + 3)/24` = `55/24` .
Exercise problems for least common multiple of three numbers:
1. Find out the least common multiple of three numbers as 5, 10, 15.
Answer: The least common multiple of three numbers are 30.
2. Add the given fraction with using LCM.
`1/4` + `5/8` + `1/12`
Answer: The addition result is `23/24` .
The multiple is defined as the one number is multiplied with another other number. If the two numbers has common multiple means it is used to find out the least common multiple for operations. We can find the least common multiple of three numbers same as LCM of two numbers. Now we are going to see about how to determine the LCM of three numbers.
Explanation for least Common Multiple of three Numbers
Least common multiple of three numbers in math:
The number’s least common multiple is represented as LCM(a, b, c). The LCM calculation is done by the prime factorization.
If we want to find the least common multiple of three numbers means first find out the greatest common factor. Then, that common factor is multiplied with numerator values of fraction. The common factor is divide the resultant value.
More about least Common Multiple of three Numbers
Example problems for least common multiple of three numbers:
Problem 1: Determine the least common multiple of given numbers and do the addition operation.
`2/3` , `1/6` and `5/12` .
Answer:
The given fractions are `2/3` , `1/6` and `5/12` .
Add the given fractions as `2/3` + `1/6` + `5/12` .
The least common multiple of 3, 6 and 12 numbers is 12.
The LCM is multiplied with numerator values as `( 2 * 4 + 1 * 2 + 5)/12` .
The result of addition is `( 8 + 2 + 5)/12` = `15/12` .
We can simplify the above result as `5/4` .
Problem 2: Do the subtraction operation using least common multiple with `7/4` , `5/6` and `1/8` .
Answer:
The given fractions are `7/4` , `5/6` and `1/8` .
Subtract the fractions as `7/4` – `5/6` – `1/8` .
The least common multiple of three numbers are 24.
The LCM is multiplied with numerator values as `( 7 * 6 + 5 * 4 + 1 * 3 )/24` .
The result of subtraction is `( 32 + 20 + 3)/24` = `55/24` .
Exercise problems for least common multiple of three numbers:
1. Find out the least common multiple of three numbers as 5, 10, 15.
Answer: The least common multiple of three numbers are 30.
2. Add the given fraction with using LCM.
`1/4` + `5/8` + `1/12`
Answer: The addition result is `23/24` .
