Least Common Multiple of 52/46, 15/50, 585/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/46, 15/50, 585/642 quickly i.e. 1170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/46, 15/50, 585/642 is 1170.

LCM(52/46, 15/50, 585/642) = 1170

LCM of 52/46, 15/50, 585/642

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 52/46,15/50,585/642

Given numbers are 52/46,15/50,585/642

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 52,15,585

Least Common Multiple of Numerators i.e. LCM of 52,15,585 is 2340.

GCF of Denominators means GCF of 46,50,642 as per the given fractions.

GCF of 46,50,642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,15,585

LCM of Fractions 52/46,15/50,585/642 is 1170

3 52, 15, 585
5 52, 5, 195
13 52, 1, 39
4, 1, 3

∴ So the LCM of the given numbers is 3 x 5 x 13 x 4 x 1 x 3 = 2340

Least Common Multiple of 52,15,585 with GCF Formula

Least Common Multiple of 52,15,585 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 52,15,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,15,585) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(52,15,585) x common factors =1 x 195 = 195

LCM(52,15,585) = ( 52 × 15 × 585 ) / 195

LCM(52,15,585) = 456300 / 195

LCM(52,15,585) = 2340


Lets's calculate GCF of 46,50,642

2 46, 50, 642
23, 25, 321

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2340/2

Therefore the LCM of Fractions 52/46,15/50,585/642 is 1170

Greatest Common Factor of 46,50,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,50,642 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 46,50,642 . The biggest common factor number is the GCF number.
So the greatest common factor 46,50,642 is 2.


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 52/46, 15/50, 585/642

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 52/46, 15/50, 585/642?

Answer: LCM of Numerators as per given numbers 52/46, 15/50, 585/642 is

LCM of Numerators i.e. for 52,15,585 is 2340

GCF of denominators i.e. for 46,50,642 is 2.

Thus, LCM of Fractions is 1170.Finally, LCM of Fractions for 52/46, 15/50, 585/642 is 1170.