Least Common Multiple of 12/10, 49/43, 92/63, 20/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/10, 49/43, 92/63, 20/956 quickly i.e. 67620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/10, 49/43, 92/63, 20/956 is 67620.

LCM(12/10, 49/43, 92/63, 20/956) = 67620

LCM of 12/10, 49/43, 92/63, 20/956

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 12/10,49/43,92/63,20/956

Given numbers are 12/10,49/43,92/63,20/956

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 12,49,92,20

Least Common Multiple of Numerators i.e. LCM of 12,49,92,20 is 67620.

GCF of Denominators means GCF of 10,43,63,956 as per the given fractions.

GCF of 10,43,63,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,49,92,20

LCM of Fractions 12/10,49/43,92/63,20/956 is 67620

2 12, 49, 92, 20
2 6, 49, 46, 10
3, 49, 23, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 49 x 23 x 5 = 67620

Least Common Multiple of 12,49,92,20 with GCF Formula

Least Common Multiple of 12,49,92,20 with GCF Formula

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 12,49,92,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,49,92,20) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(12,49,92,20) x common factors =1 x 16 = 16

LCM(12,49,92,20) = ( 12 × 49 × 92 × 20 ) / 16

LCM(12,49,92,20) = 1081920 / 16

LCM(12,49,92,20) = 67620


Lets's calculate GCF of 10,43,63,956

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67620/1

Therefore the LCM of Fractions 12/10,49/43,92/63,20/956 is 67620

Greatest Common Factor of 10,43,63,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,43,63,956 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 10,43,63,956 . The biggest common factor number is the GCF number.
So the greatest common factor 10,43,63,956 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 12/10, 49/43, 92/63, 20/956

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 12/10, 49/43, 92/63, 20/956?

Answer: LCM of Numerators as per given numbers 12/10, 49/43, 92/63, 20/956 is

LCM of Numerators i.e. for 12,49,92,20 is 67620

GCF of denominators i.e. for 10,43,63,956 is 1.

Thus, LCM of Fractions is 67620.Finally, LCM of Fractions for 12/10, 49/43, 92/63, 20/956 is 67620.