Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/388, 57/328, 132/951 quickly i.e. 77748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/388, 57/328, 132/951 is 77748.
LCM(62/388, 57/328, 132/951) = 77748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/388,57/328,132/951
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 62,57,132
Least Common Multiple of Numerators i.e. LCM of 62,57,132 is 77748.
GCF of Denominators means GCF of 388,328,951 as per the given fractions.
GCF of 388,328,951 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,57,132
2 | 62, 57, 132 |
3 | 31, 57, 66 |
31, 19, 22 |
∴ So the LCM of the given numbers is 2 x 3 x 31 x 19 x 22 = 77748
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 62,57,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,57,132) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(62,57,132) x common factors =1 x 6 = 6
LCM(62,57,132) = ( 62 × 57 × 132 ) / 6
LCM(62,57,132) = 466488 / 6
LCM(62,57,132) = 77748
Lets's calculate GCF of 388,328,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77748/1
Therefore the LCM of Fractions 62/388,57/328,132/951 is 77748
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 328
List of positive integer factors of 328 that divides 328 without a remainder.
1,2,4,8,41,82,164,328
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 388,328,951 . The biggest common factor number is the GCF number.
So the greatest common factor 388,328,951 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 62/388, 57/328, 132/951?
Answer: LCM of Numerators as per given numbers 62/388, 57/328, 132/951 is
LCM of Numerators i.e. for 62,57,132 is 77748
GCF of denominators i.e. for 388,328,951 is 1.
Thus, LCM of Fractions is 77748.Finally, LCM of Fractions for 62/388, 57/328, 132/951 is 77748.