Least Common Multiple of 282/77, 524/5338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 282/77, 524/5338 quickly i.e. 73884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 282/77, 524/5338 is 73884.

LCM(282/77, 524/5338) = 73884

LCM of 282/77, 524/5338

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 282/77,524/5338

Given numbers are 282/77,524/5338

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 282,524

Least Common Multiple of Numerators i.e. LCM of 282,524 is 73884.

GCF of Denominators means GCF of 77,5338 as per the given fractions.

GCF of 77,5338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 282,524

LCM of Fractions 282/77,524/5338 is 73884

2 282, 524
141, 262

∴ So the LCM of the given numbers is 2 x 141 x 262 = 73884

Least Common Multiple of 282,524 with GCF Formula

Least Common Multiple of 282,524 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 282,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,524) = 2

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

GCF(282,524) x common factors =2 x 1 = 2

LCM(282,524) = ( 282 × 524 ) / 2

LCM(282,524) = 147768 / 2

LCM(282,524) = 73884


Lets's calculate GCF of 77,5338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73884/1

Therefore the LCM of Fractions 282/77,524/5338 is 73884

Greatest Common Factor of 77,5338 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,5338 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1,2,17,34,157,314,2669,5338

Greatest Common Factor

We found the factors 77,5338 . The biggest common factor number is the GCF number.
So the greatest common factor 77,5338 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 282/77, 524/5338

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 282/77, 524/5338?

Answer: LCM of Numerators as per given numbers 282/77, 524/5338 is

LCM of Numerators i.e. for 282,524 is 73884

GCF of denominators i.e. for 77,5338 is 1.

Thus, LCM of Fractions is 73884.Finally, LCM of Fractions for 282/77, 524/5338 is 73884.