Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 907/972, 418/191, 157/990 quickly i.e. 59522782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 907/972, 418/191, 157/990 is 59522782.
LCM(907/972, 418/191, 157/990) = 59522782
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 907/972,418/191,157/990
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 907,418,157
Least Common Multiple of Numerators i.e. LCM of 907,418,157 is 59522782.
GCF of Denominators means GCF of 972,191,990 as per the given fractions.
GCF of 972,191,990 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 907,418,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 59522782
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 907,418,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,418,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,418,157) x common factors =1 x 1 = 1
LCM(907,418,157) = ( 907 × 418 × 157 ) / 1
LCM(907,418,157) = 59522782 / 1
LCM(907,418,157) = 59522782
Lets's calculate GCF of 972,191,990
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59522782/1
Therefore the LCM of Fractions 907/972,418/191,157/990 is 59522782
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 191
List of positive integer factors of 191 that divides 191 without a remainder.
1,191
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 972,191,990 . The biggest common factor number is the GCF number.
So the greatest common factor 972,191,990 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 907/972, 418/191, 157/990?
Answer: LCM of Numerators as per given numbers 907/972, 418/191, 157/990 is
LCM of Numerators i.e. for 907,418,157 is 59522782
GCF of denominators i.e. for 972,191,990 is 1.
Thus, LCM of Fractions is 59522782.Finally, LCM of Fractions for 907/972, 418/191, 157/990 is 59522782.