Least Common Multiple of 536/543, 3122/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/543, 3122/528 quickly i.e. 836696/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/543, 3122/528 is 836696/3.

LCM(536/543, 3122/528) = 836696/3

LCM of 536/543, 3122/528

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 536/543,3122/528

Given numbers are 536/543,3122/528

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 536,3122

Least Common Multiple of Numerators i.e. LCM of 536,3122 is 836696.

GCF of Denominators means GCF of 543,528 as per the given fractions.

GCF of 543,528 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,3122

LCM of Fractions 536/543,3122/528 is 836696/3

2 536, 3122
268, 1561

∴ So the LCM of the given numbers is 2 x 268 x 1561 = 836696

Least Common Multiple of 536,3122 with GCF Formula

Least Common Multiple of 536,3122 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 536,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,3122) = 2

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

GCF(536,3122) x common factors =2 x 1 = 2

LCM(536,3122) = ( 536 × 3122 ) / 2

LCM(536,3122) = 1673392 / 2

LCM(536,3122) = 836696


Lets's calculate GCF of 543,528

3 543, 528
181, 176

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 836696/3

Therefore the LCM of Fractions 536/543,3122/528 is 836696/3

Greatest Common Factor of 543,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,528 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 543,528 . The biggest common factor number is the GCF number.
So the greatest common factor 543,528 is 3.


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 536/543, 3122/528

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 536/543, 3122/528?

Answer: LCM of Numerators as per given numbers 536/543, 3122/528 is

LCM of Numerators i.e. for 536,3122 is 836696

GCF of denominators i.e. for 543,528 is 3.

Thus, LCM of Fractions is 836696/3.Finally, LCM of Fractions for 536/543, 3122/528 is 836696/3.