Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 957/795, 1100/147 quickly i.e. 31900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 957/795, 1100/147 is 31900.
LCM(957/795, 1100/147) = 31900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 957/795,1100/147
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 957,1100
Least Common Multiple of Numerators i.e. LCM of 957,1100 is 95700.
GCF of Denominators means GCF of 795,147 as per the given fractions.
GCF of 795,147 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 957,1100
11 | 957, 1100 |
87, 100 |
∴ So the LCM of the given numbers is 11 x 87 x 100 = 95700
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 957,1100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,1100) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(957,1100) x common factors =11 x 1 = 11
LCM(957,1100) = ( 957 × 1100 ) / 11
LCM(957,1100) = 1052700 / 11
LCM(957,1100) = 95700
Lets's calculate GCF of 795,147
3 | 795, 147 |
265, 49 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95700/3
Therefore the LCM of Fractions 957/795,1100/147 is 31900
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 147
List of positive integer factors of 147 that divides 147 without a remainder.
1,3,7,21,49,147
Greatest Common Factor
We found the factors 795,147 . The biggest common factor number is the GCF number.
So the greatest common factor 795,147 is 3.
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 957/795, 1100/147?
Answer: LCM of Numerators as per given numbers 957/795, 1100/147 is
LCM of Numerators i.e. for 957,1100 is 95700
GCF of denominators i.e. for 795,147 is 3.
Thus, LCM of Fractions is 31900.Finally, LCM of Fractions for 957/795, 1100/147 is 31900.