Least Common Multiple of 851/44, 236/57, 484/229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 851/44, 236/57, 484/229 quickly i.e. 24301156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 851/44, 236/57, 484/229 is 24301156.

LCM(851/44, 236/57, 484/229) = 24301156

LCM of 851/44, 236/57, 484/229

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 851/44,236/57,484/229

Given numbers are 851/44,236/57,484/229

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 851,236,484

Least Common Multiple of Numerators i.e. LCM of 851,236,484 is 24301156.

GCF of Denominators means GCF of 44,57,229 as per the given fractions.

GCF of 44,57,229 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 851,236,484

LCM of Fractions 851/44,236/57,484/229 is 24301156

2 851, 236, 484
2 851, 118, 242
851, 59, 121

∴ So the LCM of the given numbers is 2 x 2 x 851 x 59 x 121 = 24301156

Least Common Multiple of 851,236,484 with GCF Formula

Least Common Multiple of 851,236,484 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 851,236,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,236,484) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(851,236,484) x common factors =1 x 4 = 4

LCM(851,236,484) = ( 851 × 236 × 484 ) / 4

LCM(851,236,484) = 97204624 / 4

LCM(851,236,484) = 24301156


Lets's calculate GCF of 44,57,229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24301156/1

Therefore the LCM of Fractions 851/44,236/57,484/229 is 24301156

Greatest Common Factor of 44,57,229 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,57,229 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors 44,57,229 . The biggest common factor number is the GCF number.
So the greatest common factor 44,57,229 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 851/44, 236/57, 484/229

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 851/44, 236/57, 484/229?

Answer: LCM of Numerators as per given numbers 851/44, 236/57, 484/229 is

LCM of Numerators i.e. for 851,236,484 is 24301156

GCF of denominators i.e. for 44,57,229 is 1.

Thus, LCM of Fractions is 24301156.Finally, LCM of Fractions for 851/44, 236/57, 484/229 is 24301156.