Least Common Multiple of 688/392, 285/409, 542/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 688/392, 285/409, 542/621 quickly i.e. 53137680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 688/392, 285/409, 542/621 is 53137680.

LCM(688/392, 285/409, 542/621) = 53137680

LCM of 688/392, 285/409, 542/621

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 688/392,285/409,542/621

Given numbers are 688/392,285/409,542/621

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 688,285,542

Least Common Multiple of Numerators i.e. LCM of 688,285,542 is 53137680.

GCF of Denominators means GCF of 392,409,621 as per the given fractions.

GCF of 392,409,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 688,285,542

LCM of Fractions 688/392,285/409,542/621 is 53137680

2 688, 285, 542
344, 285, 271

∴ So the LCM of the given numbers is 2 x 344 x 285 x 271 = 53137680

Least Common Multiple of 688,285,542 with GCF Formula

Least Common Multiple of 688,285,542 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 688,285,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,285,542) = 1

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

GCF(688,285,542) x common factors =1 x 2 = 2

LCM(688,285,542) = ( 688 × 285 × 542 ) / 2

LCM(688,285,542) = 106275360 / 2

LCM(688,285,542) = 53137680


Lets's calculate GCF of 392,409,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53137680/1

Therefore the LCM of Fractions 688/392,285/409,542/621 is 53137680

Greatest Common Factor of 392,409,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,409,621 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 392,409,621 . The biggest common factor number is the GCF number.
So the greatest common factor 392,409,621 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 688/392, 285/409, 542/621

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 688/392, 285/409, 542/621?

Answer: LCM of Numerators as per given numbers 688/392, 285/409, 542/621 is

LCM of Numerators i.e. for 688,285,542 is 53137680

GCF of denominators i.e. for 392,409,621 is 1.

Thus, LCM of Fractions is 53137680.Finally, LCM of Fractions for 688/392, 285/409, 542/621 is 53137680.