Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 782/132, 657/627, 806/456 quickly i.e. 69016974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 782/132, 657/627, 806/456 is 69016974.
LCM(782/132, 657/627, 806/456) = 69016974
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 782/132,657/627,806/456
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 782,657,806
Least Common Multiple of Numerators i.e. LCM of 782,657,806 is 207050922.
GCF of Denominators means GCF of 132,627,456 as per the given fractions.
GCF of 132,627,456 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 782,657,806
2 | 782, 657, 806 |
391, 657, 403 |
∴ So the LCM of the given numbers is 2 x 391 x 657 x 403 = 207050922
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 782,657,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,657,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(782,657,806) x common factors =1 x 2 = 2
LCM(782,657,806) = ( 782 × 657 × 806 ) / 2
LCM(782,657,806) = 414101844 / 2
LCM(782,657,806) = 207050922
Lets's calculate GCF of 132,627,456
3 | 132, 627, 456 |
44, 209, 152 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207050922/3
Therefore the LCM of Fractions 782/132,657/627,806/456 is 69016974
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 132,627,456 . The biggest common factor number is the GCF number.
So the greatest common factor 132,627,456 is 3.
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 782/132, 657/627, 806/456?
Answer: LCM of Numerators as per given numbers 782/132, 657/627, 806/456 is
LCM of Numerators i.e. for 782,657,806 is 207050922
GCF of denominators i.e. for 132,627,456 is 3.
Thus, LCM of Fractions is 69016974.Finally, LCM of Fractions for 782/132, 657/627, 806/456 is 69016974.