Least Common Multiple of 42/646, 213/540, 556/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/646, 213/540, 556/337 quickly i.e. 828996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/646, 213/540, 556/337 is 828996.

LCM(42/646, 213/540, 556/337) = 828996

LCM of 42/646, 213/540, 556/337

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 42/646,213/540,556/337

Given numbers are 42/646,213/540,556/337

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 42,213,556

Least Common Multiple of Numerators i.e. LCM of 42,213,556 is 828996.

GCF of Denominators means GCF of 646,540,337 as per the given fractions.

GCF of 646,540,337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,213,556

LCM of Fractions 42/646,213/540,556/337 is 828996

2 42, 213, 556
3 21, 213, 278
7, 71, 278

∴ So the LCM of the given numbers is 2 x 3 x 7 x 71 x 278 = 828996

Least Common Multiple of 42,213,556 with GCF Formula

Least Common Multiple of 42,213,556 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 42,213,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,213,556) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,213,556) x common factors =1 x 6 = 6

LCM(42,213,556) = ( 42 × 213 × 556 ) / 6

LCM(42,213,556) = 4973976 / 6

LCM(42,213,556) = 828996


Lets's calculate GCF of 646,540,337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 828996/1

Therefore the LCM of Fractions 42/646,213/540,556/337 is 828996

Greatest Common Factor of 646,540,337 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,540,337 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Greatest Common Factor

We found the factors 646,540,337 . The biggest common factor number is the GCF number.
So the greatest common factor 646,540,337 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 42/646, 213/540, 556/337

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 42/646, 213/540, 556/337?

Answer: LCM of Numerators as per given numbers 42/646, 213/540, 556/337 is

LCM of Numerators i.e. for 42,213,556 is 828996

GCF of denominators i.e. for 646,540,337 is 1.

Thus, LCM of Fractions is 828996.Finally, LCM of Fractions for 42/646, 213/540, 556/337 is 828996.