Least Common Multiple of 87/976, 438/522, 752/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/976, 438/522, 752/704 quickly i.e. 2387976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/976, 438/522, 752/704 is 2387976.

LCM(87/976, 438/522, 752/704) = 2387976

LCM of 87/976, 438/522, 752/704

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 87/976,438/522,752/704

Given numbers are 87/976,438/522,752/704

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 87,438,752

Least Common Multiple of Numerators i.e. LCM of 87,438,752 is 4775952.

GCF of Denominators means GCF of 976,522,704 as per the given fractions.

GCF of 976,522,704 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,438,752

LCM of Fractions 87/976,438/522,752/704 is 2387976

2 87, 438, 752
3 87, 219, 376
29, 73, 376

∴ So the LCM of the given numbers is 2 x 3 x 29 x 73 x 376 = 4775952

Least Common Multiple of 87,438,752 with GCF Formula

Least Common Multiple of 87,438,752 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 87,438,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,438,752) = 1

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

GCF(87,438,752) x common factors =1 x 6 = 6

LCM(87,438,752) = ( 87 × 438 × 752 ) / 6

LCM(87,438,752) = 28655712 / 6

LCM(87,438,752) = 4775952


Lets's calculate GCF of 976,522,704

2 976, 522, 704
488, 261, 352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4775952/2

Therefore the LCM of Fractions 87/976,438/522,752/704 is 2387976

Greatest Common Factor of 976,522,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,522,704 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 976,522,704 . The biggest common factor number is the GCF number.
So the greatest common factor 976,522,704 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 87/976, 438/522, 752/704

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 87/976, 438/522, 752/704?

Answer: LCM of Numerators as per given numbers 87/976, 438/522, 752/704 is

LCM of Numerators i.e. for 87,438,752 is 4775952

GCF of denominators i.e. for 976,522,704 is 2.

Thus, LCM of Fractions is 2387976.Finally, LCM of Fractions for 87/976, 438/522, 752/704 is 2387976.