Least Common Multiple of 53/415, 894/609, 752/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/415, 894/609, 752/431 quickly i.e. 17815632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/415, 894/609, 752/431 is 17815632.

LCM(53/415, 894/609, 752/431) = 17815632

LCM of 53/415, 894/609, 752/431

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 53/415,894/609,752/431

Given numbers are 53/415,894/609,752/431

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 53,894,752

Least Common Multiple of Numerators i.e. LCM of 53,894,752 is 17815632.

GCF of Denominators means GCF of 415,609,431 as per the given fractions.

GCF of 415,609,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,894,752

LCM of Fractions 53/415,894/609,752/431 is 17815632

2 53, 894, 752
53, 447, 376

∴ So the LCM of the given numbers is 2 x 53 x 447 x 376 = 17815632

Least Common Multiple of 53,894,752 with GCF Formula

Least Common Multiple of 53,894,752 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 53,894,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,894,752) = 1

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

GCF(53,894,752) x common factors =1 x 2 = 2

LCM(53,894,752) = ( 53 × 894 × 752 ) / 2

LCM(53,894,752) = 35631264 / 2

LCM(53,894,752) = 17815632


Lets's calculate GCF of 415,609,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17815632/1

Therefore the LCM of Fractions 53/415,894/609,752/431 is 17815632

Greatest Common Factor of 415,609,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,609,431 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 415,609,431 . The biggest common factor number is the GCF number.
So the greatest common factor 415,609,431 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 53/415, 894/609, 752/431

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 53/415, 894/609, 752/431?

Answer: LCM of Numerators as per given numbers 53/415, 894/609, 752/431 is

LCM of Numerators i.e. for 53,894,752 is 17815632

GCF of denominators i.e. for 415,609,431 is 1.

Thus, LCM of Fractions is 17815632.Finally, LCM of Fractions for 53/415, 894/609, 752/431 is 17815632.