Least Common Multiple of 24/865, 45/264, 871/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/865, 45/264, 871/754 quickly i.e. 313560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/865, 45/264, 871/754 is 313560.

LCM(24/865, 45/264, 871/754) = 313560

LCM of 24/865, 45/264, 871/754

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 24/865,45/264,871/754

Given numbers are 24/865,45/264,871/754

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 24,45,871

Least Common Multiple of Numerators i.e. LCM of 24,45,871 is 313560.

GCF of Denominators means GCF of 865,264,754 as per the given fractions.

GCF of 865,264,754 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,45,871

LCM of Fractions 24/865,45/264,871/754 is 313560

3 24, 45, 871
8, 15, 871

∴ So the LCM of the given numbers is 3 x 8 x 15 x 871 = 313560

Least Common Multiple of 24,45,871 with GCF Formula

Least Common Multiple of 24,45,871 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 24,45,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,45,871) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(24,45,871) x common factors =1 x 3 = 3

LCM(24,45,871) = ( 24 × 45 × 871 ) / 3

LCM(24,45,871) = 940680 / 3

LCM(24,45,871) = 313560


Lets's calculate GCF of 865,264,754

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313560/1

Therefore the LCM of Fractions 24/865,45/264,871/754 is 313560

Greatest Common Factor of 865,264,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,264,754 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 865,264,754 . The biggest common factor number is the GCF number.
So the greatest common factor 865,264,754 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 24/865, 45/264, 871/754

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 24/865, 45/264, 871/754?

Answer: LCM of Numerators as per given numbers 24/865, 45/264, 871/754 is

LCM of Numerators i.e. for 24,45,871 is 313560

GCF of denominators i.e. for 865,264,754 is 1.

Thus, LCM of Fractions is 313560.Finally, LCM of Fractions for 24/865, 45/264, 871/754 is 313560.