Least Common Multiple of 984/84, 638/43, 528/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/84, 638/43, 528/924 quickly i.e. 627792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/84, 638/43, 528/924 is 627792.

LCM(984/84, 638/43, 528/924) = 627792

LCM of 984/84, 638/43, 528/924

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 984/84,638/43,528/924

Given numbers are 984/84,638/43,528/924

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 984,638,528

Least Common Multiple of Numerators i.e. LCM of 984,638,528 is 627792.

GCF of Denominators means GCF of 84,43,924 as per the given fractions.

GCF of 84,43,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,638,528

LCM of Fractions 984/84,638/43,528/924 is 627792

2 984, 638, 528
2 492, 319, 264
2 246, 319, 132
3 123, 319, 66
11 41, 319, 22
41, 29, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 41 x 29 x 2 = 627792

Least Common Multiple of 984,638,528 with GCF Formula

Least Common Multiple of 984,638,528 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 984,638,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,638,528) = 2

common factors(in case of two or more numbers have common factors) = 264

GCF(984,638,528) x common factors =2 x 264 = 528

LCM(984,638,528) = ( 984 × 638 × 528 ) / 528

LCM(984,638,528) = 331474176 / 528

LCM(984,638,528) = 627792


Lets's calculate GCF of 84,43,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 627792/1

Therefore the LCM of Fractions 984/84,638/43,528/924 is 627792

Greatest Common Factor of 84,43,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,43,924 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 84,43,924 . The biggest common factor number is the GCF number.
So the greatest common factor 84,43,924 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 984/84, 638/43, 528/924

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 984/84, 638/43, 528/924?

Answer: LCM of Numerators as per given numbers 984/84, 638/43, 528/924 is

LCM of Numerators i.e. for 984,638,528 is 627792

GCF of denominators i.e. for 84,43,924 is 1.

Thus, LCM of Fractions is 627792.Finally, LCM of Fractions for 984/84, 638/43, 528/924 is 627792.