Least Common Multiple of 52/718, 21/788, 410/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/718, 21/788, 410/321 quickly i.e. 223860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/718, 21/788, 410/321 is 223860.

LCM(52/718, 21/788, 410/321) = 223860

LCM of 52/718, 21/788, 410/321

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 52/718,21/788,410/321

Given numbers are 52/718,21/788,410/321

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 52,21,410

Least Common Multiple of Numerators i.e. LCM of 52,21,410 is 223860.

GCF of Denominators means GCF of 718,788,321 as per the given fractions.

GCF of 718,788,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,21,410

LCM of Fractions 52/718,21/788,410/321 is 223860

2 52, 21, 410
26, 21, 205

∴ So the LCM of the given numbers is 2 x 26 x 21 x 205 = 223860

Least Common Multiple of 52,21,410 with GCF Formula

Least Common Multiple of 52,21,410 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 52,21,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,21,410) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(52,21,410) x common factors =1 x 2 = 2

LCM(52,21,410) = ( 52 × 21 × 410 ) / 2

LCM(52,21,410) = 447720 / 2

LCM(52,21,410) = 223860


Lets's calculate GCF of 718,788,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223860/1

Therefore the LCM of Fractions 52/718,21/788,410/321 is 223860

Greatest Common Factor of 718,788,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,788,321 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 718,788,321 . The biggest common factor number is the GCF number.
So the greatest common factor 718,788,321 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 52/718, 21/788, 410/321

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 52/718, 21/788, 410/321?

Answer: LCM of Numerators as per given numbers 52/718, 21/788, 410/321 is

LCM of Numerators i.e. for 52,21,410 is 223860

GCF of denominators i.e. for 718,788,321 is 1.

Thus, LCM of Fractions is 223860.Finally, LCM of Fractions for 52/718, 21/788, 410/321 is 223860.