Least Common Multiple of 684/40, 743/38, 535/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/40, 743/38, 535/37 quickly i.e. 271893420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/40, 743/38, 535/37 is 271893420.

LCM(684/40, 743/38, 535/37) = 271893420

LCM of 684/40, 743/38, 535/37

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 684/40,743/38,535/37

Given numbers are 684/40,743/38,535/37

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 684,743,535

Least Common Multiple of Numerators i.e. LCM of 684,743,535 is 271893420.

GCF of Denominators means GCF of 40,38,37 as per the given fractions.

GCF of 40,38,37 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,743,535

LCM of Fractions 684/40,743/38,535/37 is 271893420

Given numbers has no common factors except 1. So, there LCM is their product i.e 271893420

Least Common Multiple of 684,743,535 with GCF Formula

Least Common Multiple of 684,743,535 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 684,743,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,743,535) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(684,743,535) x common factors =1 x 1 = 1

LCM(684,743,535) = ( 684 × 743 × 535 ) / 1

LCM(684,743,535) = 271893420 / 1

LCM(684,743,535) = 271893420


Lets's calculate GCF of 40,38,37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271893420/1

Therefore the LCM of Fractions 684/40,743/38,535/37 is 271893420

Greatest Common Factor of 40,38,37 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,38,37 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Greatest Common Factor

We found the factors 40,38,37 . The biggest common factor number is the GCF number.
So the greatest common factor 40,38,37 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 684/40, 743/38, 535/37

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 684/40, 743/38, 535/37?

Answer: LCM of Numerators as per given numbers 684/40, 743/38, 535/37 is

LCM of Numerators i.e. for 684,743,535 is 271893420

GCF of denominators i.e. for 40,38,37 is 1.

Thus, LCM of Fractions is 271893420.Finally, LCM of Fractions for 684/40, 743/38, 535/37 is 271893420.