Least Common Multiple of 42/40, 34/21, 43/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/40, 34/21, 43/644 quickly i.e. 30702 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/40, 34/21, 43/644 is 30702.

LCM(42/40, 34/21, 43/644) = 30702

LCM of 42/40, 34/21, 43/644

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 42/40,34/21,43/644

Given numbers are 42/40,34/21,43/644

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 42,34,43

Least Common Multiple of Numerators i.e. LCM of 42,34,43 is 30702.

GCF of Denominators means GCF of 40,21,644 as per the given fractions.

GCF of 40,21,644 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,34,43

LCM of Fractions 42/40,34/21,43/644 is 30702

2 42, 34, 43
21, 17, 43

∴ So the LCM of the given numbers is 2 x 21 x 17 x 43 = 30702

Least Common Multiple of 42,34,43 with GCF Formula

Least Common Multiple of 42,34,43 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 42,34,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,34,43) = 1

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

GCF(42,34,43) x common factors =1 x 2 = 2

LCM(42,34,43) = ( 42 × 34 × 43 ) / 2

LCM(42,34,43) = 61404 / 2

LCM(42,34,43) = 30702


Lets's calculate GCF of 40,21,644

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30702/1

Therefore the LCM of Fractions 42/40,34/21,43/644 is 30702

Greatest Common Factor of 40,21,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,21,644 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 40,21,644 . The biggest common factor number is the GCF number.
So the greatest common factor 40,21,644 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 42/40, 34/21, 43/644

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 42/40, 34/21, 43/644?

Answer: LCM of Numerators as per given numbers 42/40, 34/21, 43/644 is

LCM of Numerators i.e. for 42,34,43 is 30702

GCF of denominators i.e. for 40,21,644 is 1.

Thus, LCM of Fractions is 30702.Finally, LCM of Fractions for 42/40, 34/21, 43/644 is 30702.