Least Common Multiple of 48/942, 953/635, 432/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/942, 953/635, 432/962 quickly i.e. 411696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/942, 953/635, 432/962 is 411696.

LCM(48/942, 953/635, 432/962) = 411696

LCM of 48/942, 953/635, 432/962

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 48/942,953/635,432/962

Given numbers are 48/942,953/635,432/962

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 48,953,432

Least Common Multiple of Numerators i.e. LCM of 48,953,432 is 411696.

GCF of Denominators means GCF of 942,635,962 as per the given fractions.

GCF of 942,635,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,953,432

LCM of Fractions 48/942,953/635,432/962 is 411696

2 48, 953, 432
2 24, 953, 216
2 12, 953, 108
2 6, 953, 54
3 3, 953, 27
1, 953, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 953 x 9 = 411696

Least Common Multiple of 48,953,432 with GCF Formula

Least Common Multiple of 48,953,432 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 48,953,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,953,432) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(48,953,432) x common factors =1 x 48 = 48

LCM(48,953,432) = ( 48 × 953 × 432 ) / 48

LCM(48,953,432) = 19761408 / 48

LCM(48,953,432) = 411696


Lets's calculate GCF of 942,635,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 411696/1

Therefore the LCM of Fractions 48/942,953/635,432/962 is 411696

Greatest Common Factor of 942,635,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,635,962 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 942,635,962 . The biggest common factor number is the GCF number.
So the greatest common factor 942,635,962 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 48/942, 953/635, 432/962

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 48/942, 953/635, 432/962?

Answer: LCM of Numerators as per given numbers 48/942, 953/635, 432/962 is

LCM of Numerators i.e. for 48,953,432 is 411696

GCF of denominators i.e. for 942,635,962 is 1.

Thus, LCM of Fractions is 411696.Finally, LCM of Fractions for 48/942, 953/635, 432/962 is 411696.