Least Common Multiple of 35/744, 672/929, 540/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/744, 672/929, 540/335 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/744, 672/929, 540/335 is 30240.

LCM(35/744, 672/929, 540/335) = 30240

LCM of 35/744, 672/929, 540/335

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 35/744,672/929,540/335

Given numbers are 35/744,672/929,540/335

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 35,672,540

Least Common Multiple of Numerators i.e. LCM of 35,672,540 is 30240.

GCF of Denominators means GCF of 744,929,335 as per the given fractions.

GCF of 744,929,335 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,672,540

LCM of Fractions 35/744,672/929,540/335 is 30240

2 35, 672, 540
2 35, 336, 270
3 35, 168, 135
5 35, 56, 45
7 7, 56, 9
1, 8, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 8 x 9 = 30240

Least Common Multiple of 35,672,540 with GCF Formula

Least Common Multiple of 35,672,540 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 35,672,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,672,540) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(35,672,540) x common factors =1 x 420 = 420

LCM(35,672,540) = ( 35 × 672 × 540 ) / 420

LCM(35,672,540) = 12700800 / 420

LCM(35,672,540) = 30240


Lets's calculate GCF of 744,929,335

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30240/1

Therefore the LCM of Fractions 35/744,672/929,540/335 is 30240

Greatest Common Factor of 744,929,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,929,335 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 744,929,335 . The biggest common factor number is the GCF number.
So the greatest common factor 744,929,335 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 35/744, 672/929, 540/335

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 35/744, 672/929, 540/335?

Answer: LCM of Numerators as per given numbers 35/744, 672/929, 540/335 is

LCM of Numerators i.e. for 35,672,540 is 30240

GCF of denominators i.e. for 744,929,335 is 1.

Thus, LCM of Fractions is 30240.Finally, LCM of Fractions for 35/744, 672/929, 540/335 is 30240.