Least Common Multiple of 52/484, 39/687, 810/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/484, 39/687, 810/210 quickly i.e. 21060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/484, 39/687, 810/210 is 21060.

LCM(52/484, 39/687, 810/210) = 21060

LCM of 52/484, 39/687, 810/210

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 52/484,39/687,810/210

Given numbers are 52/484,39/687,810/210

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 52,39,810

Least Common Multiple of Numerators i.e. LCM of 52,39,810 is 21060.

GCF of Denominators means GCF of 484,687,210 as per the given fractions.

GCF of 484,687,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,39,810

LCM of Fractions 52/484,39/687,810/210 is 21060

2 52, 39, 810
3 26, 39, 405
13 26, 13, 135
2, 1, 135

∴ So the LCM of the given numbers is 2 x 3 x 13 x 2 x 1 x 135 = 21060

Least Common Multiple of 52,39,810 with GCF Formula

Least Common Multiple of 52,39,810 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 52,39,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,39,810) = 1

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

GCF(52,39,810) x common factors =1 x 78 = 78

LCM(52,39,810) = ( 52 × 39 × 810 ) / 78

LCM(52,39,810) = 1642680 / 78

LCM(52,39,810) = 21060


Lets's calculate GCF of 484,687,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21060/1

Therefore the LCM of Fractions 52/484,39/687,810/210 is 21060

Greatest Common Factor of 484,687,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,687,210 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 484,687,210 . The biggest common factor number is the GCF number.
So the greatest common factor 484,687,210 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 52/484, 39/687, 810/210

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 52/484, 39/687, 810/210?

Answer: LCM of Numerators as per given numbers 52/484, 39/687, 810/210 is

LCM of Numerators i.e. for 52,39,810 is 21060

GCF of denominators i.e. for 484,687,210 is 1.

Thus, LCM of Fractions is 21060.Finally, LCM of Fractions for 52/484, 39/687, 810/210 is 21060.