Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/921, 712/239, 852/645 quickly i.e. 14710632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/921, 712/239, 852/645 is 14710632.
LCM(97/921, 712/239, 852/645) = 14710632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/921,712/239,852/645
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 97,712,852
Least Common Multiple of Numerators i.e. LCM of 97,712,852 is 14710632.
GCF of Denominators means GCF of 921,239,645 as per the given fractions.
GCF of 921,239,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,712,852
2 | 97, 712, 852 |
2 | 97, 356, 426 |
97, 178, 213 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 178 x 213 = 14710632
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 97,712,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,712,852) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(97,712,852) x common factors =1 x 4 = 4
LCM(97,712,852) = ( 97 × 712 × 852 ) / 4
LCM(97,712,852) = 58842528 / 4
LCM(97,712,852) = 14710632
Lets's calculate GCF of 921,239,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14710632/1
Therefore the LCM of Fractions 97/921,712/239,852/645 is 14710632
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 921,239,645 . The biggest common factor number is the GCF number.
So the greatest common factor 921,239,645 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 97/921, 712/239, 852/645?
Answer: LCM of Numerators as per given numbers 97/921, 712/239, 852/645 is
LCM of Numerators i.e. for 97,712,852 is 14710632
GCF of denominators i.e. for 921,239,645 is 1.
Thus, LCM of Fractions is 14710632.Finally, LCM of Fractions for 97/921, 712/239, 852/645 is 14710632.