Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/557, 56/756, 64/956 quickly i.e. 448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/557, 56/756, 64/956 is 448.
LCM(1/557, 56/756, 64/956) = 448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/557,56/756,64/956
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 1,56,64
Least Common Multiple of Numerators i.e. LCM of 1,56,64 is 448.
GCF of Denominators means GCF of 557,756,956 as per the given fractions.
GCF of 557,756,956 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,56,64
2 | 1, 56, 64 |
2 | 1, 28, 32 |
2 | 1, 14, 16 |
1, 7, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 7 x 8 = 448
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 1,56,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,56,64) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(1,56,64) x common factors =1 x 8 = 8
LCM(1,56,64) = ( 1 × 56 × 64 ) / 8
LCM(1,56,64) = 3584 / 8
LCM(1,56,64) = 448
Lets's calculate GCF of 557,756,956
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448/1
Therefore the LCM of Fractions 1/557,56/756,64/956 is 448
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 557,756,956 . The biggest common factor number is the GCF number.
So the greatest common factor 557,756,956 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 1/557, 56/756, 64/956?
Answer: LCM of Numerators as per given numbers 1/557, 56/756, 64/956 is
LCM of Numerators i.e. for 1,56,64 is 448
GCF of denominators i.e. for 557,756,956 is 1.
Thus, LCM of Fractions is 448.Finally, LCM of Fractions for 1/557, 56/756, 64/956 is 448.