Least Common Multiple of 24/74, 23/310, 656/976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/74, 23/310, 656/976 quickly i.e. 22632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/74, 23/310, 656/976 is 22632.

LCM(24/74, 23/310, 656/976) = 22632

LCM of 24/74, 23/310, 656/976

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 24/74,23/310,656/976

Given numbers are 24/74,23/310,656/976

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 24,23,656

Least Common Multiple of Numerators i.e. LCM of 24,23,656 is 45264.

GCF of Denominators means GCF of 74,310,976 as per the given fractions.

GCF of 74,310,976 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,23,656

LCM of Fractions 24/74,23/310,656/976 is 22632

2 24, 23, 656
2 12, 23, 328
2 6, 23, 164
3, 23, 82

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 82 = 45264

Least Common Multiple of 24,23,656 with GCF Formula

Least Common Multiple of 24,23,656 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 24,23,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,23,656) = 1

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

GCF(24,23,656) x common factors =1 x 8 = 8

LCM(24,23,656) = ( 24 × 23 × 656 ) / 8

LCM(24,23,656) = 362112 / 8

LCM(24,23,656) = 45264


Lets's calculate GCF of 74,310,976

2 74, 310, 976
37, 155, 488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45264/2

Therefore the LCM of Fractions 24/74,23/310,656/976 is 22632

Greatest Common Factor of 74,310,976 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,310,976 By Matching Biggest Common Factor Method

Factors of 74

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

1,2,37,74

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Greatest Common Factor

We found the factors 74,310,976 . The biggest common factor number is the GCF number.
So the greatest common factor 74,310,976 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 24/74, 23/310, 656/976

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 24/74, 23/310, 656/976?

Answer: LCM of Numerators as per given numbers 24/74, 23/310, 656/976 is

LCM of Numerators i.e. for 24,23,656 is 45264

GCF of denominators i.e. for 74,310,976 is 2.

Thus, LCM of Fractions is 22632.Finally, LCM of Fractions for 24/74, 23/310, 656/976 is 22632.