Least Common Multiple of 157/48, 294/1910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/48, 294/1910 quickly i.e. 23079 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/48, 294/1910 is 23079.

LCM(157/48, 294/1910) = 23079

LCM of 157/48, 294/1910

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 157/48,294/1910

Given numbers are 157/48,294/1910

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 157,294

Least Common Multiple of Numerators i.e. LCM of 157,294 is 46158.

GCF of Denominators means GCF of 48,1910 as per the given fractions.

GCF of 48,1910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,294

LCM of Fractions 157/48,294/1910 is 23079

Given numbers has no common factors except 1. So, there LCM is their product i.e 46158

Least Common Multiple of 157,294 with GCF Formula

Least Common Multiple of 157,294 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 157,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,294) = 1

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

GCF(157,294) x common factors =1 x 1 = 1

LCM(157,294) = ( 157 × 294 ) / 1

LCM(157,294) = 46158 / 1

LCM(157,294) = 46158


Lets's calculate GCF of 48,1910

2 48, 1910
24, 955

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46158/2

Therefore the LCM of Fractions 157/48,294/1910 is 23079

Greatest Common Factor of 48,1910 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,1910 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 1910

List of positive integer factors of 1910 that divides 1910 without a remainder.

1,2,5,10,191,382,955,1910

Greatest Common Factor

We found the factors 48,1910 . The biggest common factor number is the GCF number.
So the greatest common factor 48,1910 is 2.


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 157/48, 294/1910

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 157/48, 294/1910?

Answer: LCM of Numerators as per given numbers 157/48, 294/1910 is

LCM of Numerators i.e. for 157,294 is 46158

GCF of denominators i.e. for 48,1910 is 2.

Thus, LCM of Fractions is 23079.Finally, LCM of Fractions for 157/48, 294/1910 is 23079.