Least Common Multiple of 55/524, 402/467, 542/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/524, 402/467, 542/828 quickly i.e. 5991810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/524, 402/467, 542/828 is 5991810.

LCM(55/524, 402/467, 542/828) = 5991810

LCM of 55/524, 402/467, 542/828

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 55/524,402/467,542/828

Given numbers are 55/524,402/467,542/828

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 55,402,542

Least Common Multiple of Numerators i.e. LCM of 55,402,542 is 5991810.

GCF of Denominators means GCF of 524,467,828 as per the given fractions.

GCF of 524,467,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,402,542

LCM of Fractions 55/524,402/467,542/828 is 5991810

2 55, 402, 542
55, 201, 271

∴ So the LCM of the given numbers is 2 x 55 x 201 x 271 = 5991810

Least Common Multiple of 55,402,542 with GCF Formula

Least Common Multiple of 55,402,542 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 55,402,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,402,542) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(55,402,542) x common factors =1 x 2 = 2

LCM(55,402,542) = ( 55 × 402 × 542 ) / 2

LCM(55,402,542) = 11983620 / 2

LCM(55,402,542) = 5991810


Lets's calculate GCF of 524,467,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5991810/1

Therefore the LCM of Fractions 55/524,402/467,542/828 is 5991810

Greatest Common Factor of 524,467,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,467,828 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 524,467,828 . The biggest common factor number is the GCF number.
So the greatest common factor 524,467,828 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 55/524, 402/467, 542/828

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 55/524, 402/467, 542/828?

Answer: LCM of Numerators as per given numbers 55/524, 402/467, 542/828 is

LCM of Numerators i.e. for 55,402,542 is 5991810

GCF of denominators i.e. for 524,467,828 is 1.

Thus, LCM of Fractions is 5991810.Finally, LCM of Fractions for 55/524, 402/467, 542/828 is 5991810.