Least Common Multiple of 137/95, 928/12, 992/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 137/95, 928/12, 992/942 quickly i.e. 3941216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/95, 928/12, 992/942 is 3941216.

LCM(137/95, 928/12, 992/942) = 3941216

LCM of 137/95, 928/12, 992/942

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 137/95,928/12,992/942

Given numbers are 137/95,928/12,992/942

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 137,928,992

Least Common Multiple of Numerators i.e. LCM of 137,928,992 is 3941216.

GCF of Denominators means GCF of 95,12,942 as per the given fractions.

GCF of 95,12,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,928,992

LCM of Fractions 137/95,928/12,992/942 is 3941216

2 137, 928, 992
2 137, 464, 496
2 137, 232, 248
2 137, 116, 124
2 137, 58, 62
137, 29, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 137 x 29 x 31 = 3941216

Least Common Multiple of 137,928,992 with GCF Formula

Least Common Multiple of 137,928,992 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 137,928,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,928,992) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(137,928,992) x common factors =1 x 32 = 32

LCM(137,928,992) = ( 137 × 928 × 992 ) / 32

LCM(137,928,992) = 126118912 / 32

LCM(137,928,992) = 3941216


Lets's calculate GCF of 95,12,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3941216/1

Therefore the LCM of Fractions 137/95,928/12,992/942 is 3941216

Greatest Common Factor of 95,12,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,12,942 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 942

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

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

Greatest Common Factor

We found the factors 95,12,942 . The biggest common factor number is the GCF number.
So the greatest common factor 95,12,942 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 137/95, 928/12, 992/942

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 137/95, 928/12, 992/942?

Answer: LCM of Numerators as per given numbers 137/95, 928/12, 992/942 is

LCM of Numerators i.e. for 137,928,992 is 3941216

GCF of denominators i.e. for 95,12,942 is 1.

Thus, LCM of Fractions is 3941216.Finally, LCM of Fractions for 137/95, 928/12, 992/942 is 3941216.