Least Common Multiple of 524/63, 2088/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 524/63, 2088/176 quickly i.e. 273528 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/63, 2088/176 is 273528.

LCM(524/63, 2088/176) = 273528

LCM of 524/63, 2088/176

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 524/63,2088/176

Given numbers are 524/63,2088/176

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 524,2088

Least Common Multiple of Numerators i.e. LCM of 524,2088 is 273528.

GCF of Denominators means GCF of 63,176 as per the given fractions.

GCF of 63,176 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,2088

LCM of Fractions 524/63,2088/176 is 273528

2 524, 2088
2 262, 1044
131, 522

∴ So the LCM of the given numbers is 2 x 2 x 131 x 522 = 273528

Least Common Multiple of 524,2088 with GCF Formula

Least Common Multiple of 524,2088 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 524,2088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,2088) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(524,2088) x common factors =4 x 1 = 4

LCM(524,2088) = ( 524 × 2088 ) / 4

LCM(524,2088) = 1094112 / 4

LCM(524,2088) = 273528


Lets's calculate GCF of 63,176

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273528/1

Therefore the LCM of Fractions 524/63,2088/176 is 273528

Greatest Common Factor of 63,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,176 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 63,176 . The biggest common factor number is the GCF number.
So the greatest common factor 63,176 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 524/63, 2088/176

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 524/63, 2088/176?

Answer: LCM of Numerators as per given numbers 524/63, 2088/176 is

LCM of Numerators i.e. for 524,2088 is 273528

GCF of denominators i.e. for 63,176 is 1.

Thus, LCM of Fractions is 273528.Finally, LCM of Fractions for 524/63, 2088/176 is 273528.