Least Common Multiple of 753/96, 530/64, 876/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 753/96, 530/64, 876/418 quickly i.e. 29133570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 753/96, 530/64, 876/418 is 29133570.

LCM(753/96, 530/64, 876/418) = 29133570

LCM of 753/96, 530/64, 876/418

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 753/96,530/64,876/418

Given numbers are 753/96,530/64,876/418

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 753,530,876

Least Common Multiple of Numerators i.e. LCM of 753,530,876 is 58267140.

GCF of Denominators means GCF of 96,64,418 as per the given fractions.

GCF of 96,64,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 753,530,876

LCM of Fractions 753/96,530/64,876/418 is 29133570

2 753, 530, 876
3 753, 265, 438
251, 265, 146

∴ So the LCM of the given numbers is 2 x 3 x 251 x 265 x 146 = 58267140

Least Common Multiple of 753,530,876 with GCF Formula

Least Common Multiple of 753,530,876 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 753,530,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(753,530,876) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(753,530,876) x common factors =1 x 6 = 6

LCM(753,530,876) = ( 753 × 530 × 876 ) / 6

LCM(753,530,876) = 349602840 / 6

LCM(753,530,876) = 58267140


Lets's calculate GCF of 96,64,418

2 96, 64, 418
48, 32, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58267140/2

Therefore the LCM of Fractions 753/96,530/64,876/418 is 29133570

Greatest Common Factor of 96,64,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,64,418 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 96,64,418 . The biggest common factor number is the GCF number.
So the greatest common factor 96,64,418 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 753/96, 530/64, 876/418

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 753/96, 530/64, 876/418?

Answer: LCM of Numerators as per given numbers 753/96, 530/64, 876/418 is

LCM of Numerators i.e. for 753,530,876 is 58267140

GCF of denominators i.e. for 96,64,418 is 2.

Thus, LCM of Fractions is 29133570.Finally, LCM of Fractions for 753/96, 530/64, 876/418 is 29133570.