Least Common Multiple of 57/452, 59/137, 459/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/452, 59/137, 459/562 quickly i.e. 514539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/452, 59/137, 459/562 is 514539.

LCM(57/452, 59/137, 459/562) = 514539

LCM of 57/452, 59/137, 459/562

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 57/452,59/137,459/562

Given numbers are 57/452,59/137,459/562

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 57,59,459

Least Common Multiple of Numerators i.e. LCM of 57,59,459 is 514539.

GCF of Denominators means GCF of 452,137,562 as per the given fractions.

GCF of 452,137,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,59,459

LCM of Fractions 57/452,59/137,459/562 is 514539

3 57, 59, 459
19, 59, 153

∴ So the LCM of the given numbers is 3 x 19 x 59 x 153 = 514539

Least Common Multiple of 57,59,459 with GCF Formula

Least Common Multiple of 57,59,459 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 57,59,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,59,459) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(57,59,459) x common factors =1 x 3 = 3

LCM(57,59,459) = ( 57 × 59 × 459 ) / 3

LCM(57,59,459) = 1543617 / 3

LCM(57,59,459) = 514539


Lets's calculate GCF of 452,137,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 514539/1

Therefore the LCM of Fractions 57/452,59/137,459/562 is 514539

Greatest Common Factor of 452,137,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 452,137,562 By Matching Biggest Common Factor Method

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 452,137,562 . The biggest common factor number is the GCF number.
So the greatest common factor 452,137,562 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 57/452, 59/137, 459/562

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 57/452, 59/137, 459/562?

Answer: LCM of Numerators as per given numbers 57/452, 59/137, 459/562 is

LCM of Numerators i.e. for 57,59,459 is 514539

GCF of denominators i.e. for 452,137,562 is 1.

Thus, LCM of Fractions is 514539.Finally, LCM of Fractions for 57/452, 59/137, 459/562 is 514539.