Least Common Multiple of 21/315, 52/518, 858/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/315, 52/518, 858/276 quickly i.e. 12012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/315, 52/518, 858/276 is 12012.

LCM(21/315, 52/518, 858/276) = 12012

LCM of 21/315, 52/518, 858/276

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 21/315,52/518,858/276

Given numbers are 21/315,52/518,858/276

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 21,52,858

Least Common Multiple of Numerators i.e. LCM of 21,52,858 is 12012.

GCF of Denominators means GCF of 315,518,276 as per the given fractions.

GCF of 315,518,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,52,858

LCM of Fractions 21/315,52/518,858/276 is 12012

2 21, 52, 858
3 21, 26, 429
13 7, 26, 143
7, 2, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 2 x 11 = 12012

Least Common Multiple of 21,52,858 with GCF Formula

Least Common Multiple of 21,52,858 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 21,52,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,52,858) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(21,52,858) x common factors =1 x 78 = 78

LCM(21,52,858) = ( 21 × 52 × 858 ) / 78

LCM(21,52,858) = 936936 / 78

LCM(21,52,858) = 12012


Lets's calculate GCF of 315,518,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12012/1

Therefore the LCM of Fractions 21/315,52/518,858/276 is 12012

Greatest Common Factor of 315,518,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,518,276 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 315,518,276 . The biggest common factor number is the GCF number.
So the greatest common factor 315,518,276 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 21/315, 52/518, 858/276

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 21/315, 52/518, 858/276?

Answer: LCM of Numerators as per given numbers 21/315, 52/518, 858/276 is

LCM of Numerators i.e. for 21,52,858 is 12012

GCF of denominators i.e. for 315,518,276 is 1.

Thus, LCM of Fractions is 12012.Finally, LCM of Fractions for 21/315, 52/518, 858/276 is 12012.