Least Common Multiple of 524/55, 871/72, 774/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/55, 871/72, 774/429 quickly i.e. 176628348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/55, 871/72, 774/429 is 176628348.

LCM(524/55, 871/72, 774/429) = 176628348

LCM of 524/55, 871/72, 774/429

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 524/55,871/72,774/429

Given numbers are 524/55,871/72,774/429

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 524,871,774

Least Common Multiple of Numerators i.e. LCM of 524,871,774 is 176628348.

GCF of Denominators means GCF of 55,72,429 as per the given fractions.

GCF of 55,72,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,871,774

LCM of Fractions 524/55,871/72,774/429 is 176628348

2 524, 871, 774
262, 871, 387

∴ So the LCM of the given numbers is 2 x 262 x 871 x 387 = 176628348

Least Common Multiple of 524,871,774 with GCF Formula

Least Common Multiple of 524,871,774 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 524,871,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,871,774) = 1

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

GCF(524,871,774) x common factors =1 x 2 = 2

LCM(524,871,774) = ( 524 × 871 × 774 ) / 2

LCM(524,871,774) = 353256696 / 2

LCM(524,871,774) = 176628348


Lets's calculate GCF of 55,72,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176628348/1

Therefore the LCM of Fractions 524/55,871/72,774/429 is 176628348

Greatest Common Factor of 55,72,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,72,429 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 55,72,429 . The biggest common factor number is the GCF number.
So the greatest common factor 55,72,429 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 524/55, 871/72, 774/429

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 524/55, 871/72, 774/429?

Answer: LCM of Numerators as per given numbers 524/55, 871/72, 774/429 is

LCM of Numerators i.e. for 524,871,774 is 176628348

GCF of denominators i.e. for 55,72,429 is 1.

Thus, LCM of Fractions is 176628348.Finally, LCM of Fractions for 524/55, 871/72, 774/429 is 176628348.