Least Common Multiple of 157/24, 479/74, 619/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/24, 479/74, 619/961 quickly i.e. 46550657 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/24, 479/74, 619/961 is 46550657.

LCM(157/24, 479/74, 619/961) = 46550657

LCM of 157/24, 479/74, 619/961

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 157/24,479/74,619/961

Given numbers are 157/24,479/74,619/961

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 157,479,619

Least Common Multiple of Numerators i.e. LCM of 157,479,619 is 46550657.

GCF of Denominators means GCF of 24,74,961 as per the given fractions.

GCF of 24,74,961 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,479,619

LCM of Fractions 157/24,479/74,619/961 is 46550657

Given numbers has no common factors except 1. So, there LCM is their product i.e 46550657

Least Common Multiple of 157,479,619 with GCF Formula

Least Common Multiple of 157,479,619 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 157,479,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,479,619) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(157,479,619) x common factors =1 x 1 = 1

LCM(157,479,619) = ( 157 × 479 × 619 ) / 1

LCM(157,479,619) = 46550657 / 1

LCM(157,479,619) = 46550657


Lets's calculate GCF of 24,74,961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46550657/1

Therefore the LCM of Fractions 157/24,479/74,619/961 is 46550657

Greatest Common Factor of 24,74,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,74,961 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 24,74,961 . The biggest common factor number is the GCF number.
So the greatest common factor 24,74,961 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 157/24, 479/74, 619/961

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 157/24, 479/74, 619/961?

Answer: LCM of Numerators as per given numbers 157/24, 479/74, 619/961 is

LCM of Numerators i.e. for 157,479,619 is 46550657

GCF of denominators i.e. for 24,74,961 is 1.

Thus, LCM of Fractions is 46550657.Finally, LCM of Fractions for 157/24, 479/74, 619/961 is 46550657.