Least Common Multiple of 42/612, 959/49, 971/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/612, 959/49, 971/811 quickly i.e. 5587134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/612, 959/49, 971/811 is 5587134.

LCM(42/612, 959/49, 971/811) = 5587134

LCM of 42/612, 959/49, 971/811

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 42/612,959/49,971/811

Given numbers are 42/612,959/49,971/811

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 42,959,971

Least Common Multiple of Numerators i.e. LCM of 42,959,971 is 5587134.

GCF of Denominators means GCF of 612,49,811 as per the given fractions.

GCF of 612,49,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,959,971

LCM of Fractions 42/612,959/49,971/811 is 5587134

7 42, 959, 971
6, 137, 971

∴ So the LCM of the given numbers is 7 x 6 x 137 x 971 = 5587134

Least Common Multiple of 42,959,971 with GCF Formula

Least Common Multiple of 42,959,971 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 42,959,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,959,971) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(42,959,971) x common factors =1 x 7 = 7

LCM(42,959,971) = ( 42 × 959 × 971 ) / 7

LCM(42,959,971) = 39109938 / 7

LCM(42,959,971) = 5587134


Lets's calculate GCF of 612,49,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5587134/1

Therefore the LCM of Fractions 42/612,959/49,971/811 is 5587134

Greatest Common Factor of 612,49,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,49,811 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 612,49,811 . The biggest common factor number is the GCF number.
So the greatest common factor 612,49,811 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 42/612, 959/49, 971/811

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 42/612, 959/49, 971/811?

Answer: LCM of Numerators as per given numbers 42/612, 959/49, 971/811 is

LCM of Numerators i.e. for 42,959,971 is 5587134

GCF of denominators i.e. for 612,49,811 is 1.

Thus, LCM of Fractions is 5587134.Finally, LCM of Fractions for 42/612, 959/49, 971/811 is 5587134.