Least Common Multiple of 24/352, 84/876, 251/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/352, 84/876, 251/848 quickly i.e. 10542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/352, 84/876, 251/848 is 10542.

LCM(24/352, 84/876, 251/848) = 10542

LCM of 24/352, 84/876, 251/848

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 24/352,84/876,251/848

Given numbers are 24/352,84/876,251/848

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 24,84,251

Least Common Multiple of Numerators i.e. LCM of 24,84,251 is 42168.

GCF of Denominators means GCF of 352,876,848 as per the given fractions.

GCF of 352,876,848 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,84,251

LCM of Fractions 24/352,84/876,251/848 is 10542

2 24, 84, 251
2 12, 42, 251
3 6, 21, 251
2, 7, 251

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 7 x 251 = 42168

Least Common Multiple of 24,84,251 with GCF Formula

Least Common Multiple of 24,84,251 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 24,84,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,84,251) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(24,84,251) x common factors =1 x 12 = 12

LCM(24,84,251) = ( 24 × 84 × 251 ) / 12

LCM(24,84,251) = 506016 / 12

LCM(24,84,251) = 42168


Lets's calculate GCF of 352,876,848

2 352, 876, 848
2 176, 438, 424
88, 219, 212

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42168/4

Therefore the LCM of Fractions 24/352,84/876,251/848 is 10542

Greatest Common Factor of 352,876,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,876,848 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 352,876,848 . The biggest common factor number is the GCF number.
So the greatest common factor 352,876,848 is 4.


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 24/352, 84/876, 251/848

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 24/352, 84/876, 251/848?

Answer: LCM of Numerators as per given numbers 24/352, 84/876, 251/848 is

LCM of Numerators i.e. for 24,84,251 is 42168

GCF of denominators i.e. for 352,876,848 is 4.

Thus, LCM of Fractions is 10542.Finally, LCM of Fractions for 24/352, 84/876, 251/848 is 10542.