Least Common Multiple of 24/498, 2167/1265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 24/498, 2167/1265 quickly i.e. 52008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/498, 2167/1265 is 52008.

LCM(24/498, 2167/1265) = 52008

LCM of 24/498, 2167/1265

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 24/498,2167/1265

Given numbers are 24/498,2167/1265

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 24,2167

Least Common Multiple of Numerators i.e. LCM of 24,2167 is 52008.

GCF of Denominators means GCF of 498,1265 as per the given fractions.

GCF of 498,1265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,2167

LCM of Fractions 24/498,2167/1265 is 52008

Given numbers has no common factors except 1. So, there LCM is their product i.e 52008

Least Common Multiple of 24,2167 with GCF Formula

Least Common Multiple of 24,2167 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 24,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,2167) = 1

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

GCF(24,2167) x common factors =1 x 1 = 1

LCM(24,2167) = ( 24 × 2167 ) / 1

LCM(24,2167) = 52008 / 1

LCM(24,2167) = 52008


Lets's calculate GCF of 498,1265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52008/1

Therefore the LCM of Fractions 24/498,2167/1265 is 52008

Greatest Common Factor of 498,1265 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,1265 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 1265

List of positive integer factors of 1265 that divides 1265 without a remainder.

1,5,11,23,55,115,253,1265

Greatest Common Factor

We found the factors 498,1265 . The biggest common factor number is the GCF number.
So the greatest common factor 498,1265 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 24/498, 2167/1265

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 24/498, 2167/1265?

Answer: LCM of Numerators as per given numbers 24/498, 2167/1265 is

LCM of Numerators i.e. for 24,2167 is 52008

GCF of denominators i.e. for 498,1265 is 1.

Thus, LCM of Fractions is 52008.Finally, LCM of Fractions for 24/498, 2167/1265 is 52008.