Least Common Multiple of 79/353, 65/713, 510/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/353, 65/713, 510/637 quickly i.e. 523770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/353, 65/713, 510/637 is 523770.

LCM(79/353, 65/713, 510/637) = 523770

LCM of 79/353, 65/713, 510/637

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 79/353,65/713,510/637

Given numbers are 79/353,65/713,510/637

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 79,65,510

Least Common Multiple of Numerators i.e. LCM of 79,65,510 is 523770.

GCF of Denominators means GCF of 353,713,637 as per the given fractions.

GCF of 353,713,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,65,510

LCM of Fractions 79/353,65/713,510/637 is 523770

5 79, 65, 510
79, 13, 102

∴ So the LCM of the given numbers is 5 x 79 x 13 x 102 = 523770

Least Common Multiple of 79,65,510 with GCF Formula

Least Common Multiple of 79,65,510 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 79,65,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,65,510) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(79,65,510) x common factors =1 x 5 = 5

LCM(79,65,510) = ( 79 × 65 × 510 ) / 5

LCM(79,65,510) = 2618850 / 5

LCM(79,65,510) = 523770


Lets's calculate GCF of 353,713,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523770/1

Therefore the LCM of Fractions 79/353,65/713,510/637 is 523770

Greatest Common Factor of 353,713,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 353,713,637 By Matching Biggest Common Factor Method

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 353,713,637 . The biggest common factor number is the GCF number.
So the greatest common factor 353,713,637 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/353, 65/713, 510/637

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 79/353, 65/713, 510/637?

Answer: LCM of Numerators as per given numbers 79/353, 65/713, 510/637 is

LCM of Numerators i.e. for 79,65,510 is 523770

GCF of denominators i.e. for 353,713,637 is 1.

Thus, LCM of Fractions is 523770.Finally, LCM of Fractions for 79/353, 65/713, 510/637 is 523770.