Least Common Multiple of 52/509, 436/872, 393/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/509, 436/872, 393/612 quickly i.e. 2227524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/509, 436/872, 393/612 is 2227524.

LCM(52/509, 436/872, 393/612) = 2227524

LCM of 52/509, 436/872, 393/612

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 52/509,436/872,393/612

Given numbers are 52/509,436/872,393/612

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 52,436,393

Least Common Multiple of Numerators i.e. LCM of 52,436,393 is 2227524.

GCF of Denominators means GCF of 509,872,612 as per the given fractions.

GCF of 509,872,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,436,393

LCM of Fractions 52/509,436/872,393/612 is 2227524

2 52, 436, 393
2 26, 218, 393
13, 109, 393

∴ So the LCM of the given numbers is 2 x 2 x 13 x 109 x 393 = 2227524

Least Common Multiple of 52,436,393 with GCF Formula

Least Common Multiple of 52,436,393 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 52,436,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,436,393) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,436,393) x common factors =1 x 4 = 4

LCM(52,436,393) = ( 52 × 436 × 393 ) / 4

LCM(52,436,393) = 8910096 / 4

LCM(52,436,393) = 2227524


Lets's calculate GCF of 509,872,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2227524/1

Therefore the LCM of Fractions 52/509,436/872,393/612 is 2227524

Greatest Common Factor of 509,872,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,872,612 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 509,872,612 . The biggest common factor number is the GCF number.
So the greatest common factor 509,872,612 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 52/509, 436/872, 393/612

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 52/509, 436/872, 393/612?

Answer: LCM of Numerators as per given numbers 52/509, 436/872, 393/612 is

LCM of Numerators i.e. for 52,436,393 is 2227524

GCF of denominators i.e. for 509,872,612 is 1.

Thus, LCM of Fractions is 2227524.Finally, LCM of Fractions for 52/509, 436/872, 393/612 is 2227524.