Least Common Multiple of 23/344, 997/316, 508/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/344, 997/316, 508/157 quickly i.e. 11648948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/344, 997/316, 508/157 is 11648948.

LCM(23/344, 997/316, 508/157) = 11648948

LCM of 23/344, 997/316, 508/157

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 23/344,997/316,508/157

Given numbers are 23/344,997/316,508/157

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 23,997,508

Least Common Multiple of Numerators i.e. LCM of 23,997,508 is 11648948.

GCF of Denominators means GCF of 344,316,157 as per the given fractions.

GCF of 344,316,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,997,508

LCM of Fractions 23/344,997/316,508/157 is 11648948

Given numbers has no common factors except 1. So, there LCM is their product i.e 11648948

Least Common Multiple of 23,997,508 with GCF Formula

Least Common Multiple of 23,997,508 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 23,997,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,997,508) = 1

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

GCF(23,997,508) x common factors =1 x 1 = 1

LCM(23,997,508) = ( 23 × 997 × 508 ) / 1

LCM(23,997,508) = 11648948 / 1

LCM(23,997,508) = 11648948


Lets's calculate GCF of 344,316,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11648948/1

Therefore the LCM of Fractions 23/344,997/316,508/157 is 11648948

Greatest Common Factor of 344,316,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,316,157 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 344,316,157 . The biggest common factor number is the GCF number.
So the greatest common factor 344,316,157 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 23/344, 997/316, 508/157

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 23/344, 997/316, 508/157?

Answer: LCM of Numerators as per given numbers 23/344, 997/316, 508/157 is

LCM of Numerators i.e. for 23,997,508 is 11648948

GCF of denominators i.e. for 344,316,157 is 1.

Thus, LCM of Fractions is 11648948.Finally, LCM of Fractions for 23/344, 997/316, 508/157 is 11648948.