Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 932/956, 118/718, 800/847 quickly i.e. 10997600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 932/956, 118/718, 800/847 is 10997600.
LCM(932/956, 118/718, 800/847) = 10997600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 932/956,118/718,800/847
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 932,118,800
Least Common Multiple of Numerators i.e. LCM of 932,118,800 is 10997600.
GCF of Denominators means GCF of 956,718,847 as per the given fractions.
GCF of 956,718,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 932,118,800
2 | 932, 118, 800 |
2 | 466, 59, 400 |
233, 59, 200 |
∴ So the LCM of the given numbers is 2 x 2 x 233 x 59 x 200 = 10997600
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 932,118,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,118,800) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(932,118,800) x common factors =2 x 4 = 8
LCM(932,118,800) = ( 932 × 118 × 800 ) / 8
LCM(932,118,800) = 87980800 / 8
LCM(932,118,800) = 10997600
Lets's calculate GCF of 956,718,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10997600/1
Therefore the LCM of Fractions 932/956,118/718,800/847 is 10997600
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 956,718,847 . The biggest common factor number is the GCF number.
So the greatest common factor 956,718,847 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 932/956, 118/718, 800/847?
Answer: LCM of Numerators as per given numbers 932/956, 118/718, 800/847 is
LCM of Numerators i.e. for 932,118,800 is 10997600
GCF of denominators i.e. for 956,718,847 is 1.
Thus, LCM of Fractions is 10997600.Finally, LCM of Fractions for 932/956, 118/718, 800/847 is 10997600.