Least Common Multiple of 24/813, 274/970, 656/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/813, 274/970, 656/258 quickly i.e. 269616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/813, 274/970, 656/258 is 269616.

LCM(24/813, 274/970, 656/258) = 269616

LCM of 24/813, 274/970, 656/258

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 24/813,274/970,656/258

Given numbers are 24/813,274/970,656/258

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 24,274,656

Least Common Multiple of Numerators i.e. LCM of 24,274,656 is 269616.

GCF of Denominators means GCF of 813,970,258 as per the given fractions.

GCF of 813,970,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,274,656

LCM of Fractions 24/813,274/970,656/258 is 269616

2 24, 274, 656
2 12, 137, 328
2 6, 137, 164
3, 137, 82

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 137 x 82 = 269616

Least Common Multiple of 24,274,656 with GCF Formula

Least Common Multiple of 24,274,656 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 24,274,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,274,656) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(24,274,656) x common factors =2 x 8 = 16

LCM(24,274,656) = ( 24 × 274 × 656 ) / 16

LCM(24,274,656) = 4313856 / 16

LCM(24,274,656) = 269616


Lets's calculate GCF of 813,970,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269616/1

Therefore the LCM of Fractions 24/813,274/970,656/258 is 269616

Greatest Common Factor of 813,970,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 813,970,258 By Matching Biggest Common Factor Method

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 813,970,258 . The biggest common factor number is the GCF number.
So the greatest common factor 813,970,258 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 24/813, 274/970, 656/258

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 24/813, 274/970, 656/258?

Answer: LCM of Numerators as per given numbers 24/813, 274/970, 656/258 is

LCM of Numerators i.e. for 24,274,656 is 269616

GCF of denominators i.e. for 813,970,258 is 1.

Thus, LCM of Fractions is 269616.Finally, LCM of Fractions for 24/813, 274/970, 656/258 is 269616.