Least Common Multiple of 87/522, 112/484, 147/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/522, 112/484, 147/179 quickly i.e. 68208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/522, 112/484, 147/179 is 68208.

LCM(87/522, 112/484, 147/179) = 68208

LCM of 87/522, 112/484, 147/179

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 87/522,112/484,147/179

Given numbers are 87/522,112/484,147/179

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 87,112,147

Least Common Multiple of Numerators i.e. LCM of 87,112,147 is 68208.

GCF of Denominators means GCF of 522,484,179 as per the given fractions.

GCF of 522,484,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,112,147

LCM of Fractions 87/522,112/484,147/179 is 68208

3 87, 112, 147
7 29, 112, 49
29, 16, 7

∴ So the LCM of the given numbers is 3 x 7 x 29 x 16 x 7 = 68208

Least Common Multiple of 87,112,147 with GCF Formula

Least Common Multiple of 87,112,147 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 87,112,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,112,147) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(87,112,147) x common factors =1 x 21 = 21

LCM(87,112,147) = ( 87 × 112 × 147 ) / 21

LCM(87,112,147) = 1432368 / 21

LCM(87,112,147) = 68208


Lets's calculate GCF of 522,484,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68208/1

Therefore the LCM of Fractions 87/522,112/484,147/179 is 68208

Greatest Common Factor of 522,484,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,484,179 By Matching Biggest Common Factor Method

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 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 522,484,179 . The biggest common factor number is the GCF number.
So the greatest common factor 522,484,179 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 87/522, 112/484, 147/179

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 87/522, 112/484, 147/179?

Answer: LCM of Numerators as per given numbers 87/522, 112/484, 147/179 is

LCM of Numerators i.e. for 87,112,147 is 68208

GCF of denominators i.e. for 522,484,179 is 1.

Thus, LCM of Fractions is 68208.Finally, LCM of Fractions for 87/522, 112/484, 147/179 is 68208.