Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 972/35, 8954/745 quickly i.e. 4351644/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 972/35, 8954/745 is 4351644/5.
LCM(972/35, 8954/745) = 4351644/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 972/35,8954/745
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 972,8954
Least Common Multiple of Numerators i.e. LCM of 972,8954 is 4351644.
GCF of Denominators means GCF of 35,745 as per the given fractions.
GCF of 35,745 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 972,8954
2 | 972, 8954 |
486, 4477 |
∴ So the LCM of the given numbers is 2 x 486 x 4477 = 4351644
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 972,8954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,8954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(972,8954) x common factors =2 x 1 = 2
LCM(972,8954) = ( 972 × 8954 ) / 2
LCM(972,8954) = 8703288 / 2
LCM(972,8954) = 4351644
Lets's calculate GCF of 35,745
5 | 35, 745 |
7, 149 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4351644/5
Therefore the LCM of Fractions 972/35,8954/745 is 4351644/5
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Greatest Common Factor
We found the factors 35,745 . The biggest common factor number is the GCF number.
So the greatest common factor 35,745 is 5.
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 972/35, 8954/745?
Answer: LCM of Numerators as per given numbers 972/35, 8954/745 is
LCM of Numerators i.e. for 972,8954 is 4351644
GCF of denominators i.e. for 35,745 is 5.
Thus, LCM of Fractions is 4351644/5.Finally, LCM of Fractions for 972/35, 8954/745 is 4351644/5.