Least Common Multiple of 36/757, 74/655, 696/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/757, 74/655, 696/407 quickly i.e. 77256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/757, 74/655, 696/407 is 77256.

LCM(36/757, 74/655, 696/407) = 77256

LCM of 36/757, 74/655, 696/407

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 36/757,74/655,696/407

Given numbers are 36/757,74/655,696/407

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 36,74,696

Least Common Multiple of Numerators i.e. LCM of 36,74,696 is 77256.

GCF of Denominators means GCF of 757,655,407 as per the given fractions.

GCF of 757,655,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,74,696

LCM of Fractions 36/757,74/655,696/407 is 77256

2 36, 74, 696
2 18, 37, 348
3 9, 37, 174
3, 37, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 37 x 58 = 77256

Least Common Multiple of 36,74,696 with GCF Formula

Least Common Multiple of 36,74,696 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 36,74,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,74,696) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(36,74,696) x common factors =2 x 12 = 24

LCM(36,74,696) = ( 36 × 74 × 696 ) / 24

LCM(36,74,696) = 1854144 / 24

LCM(36,74,696) = 77256


Lets's calculate GCF of 757,655,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77256/1

Therefore the LCM of Fractions 36/757,74/655,696/407 is 77256

Greatest Common Factor of 757,655,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,655,407 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 757,655,407 . The biggest common factor number is the GCF number.
So the greatest common factor 757,655,407 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 36/757, 74/655, 696/407

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 36/757, 74/655, 696/407?

Answer: LCM of Numerators as per given numbers 36/757, 74/655, 696/407 is

LCM of Numerators i.e. for 36,74,696 is 77256

GCF of denominators i.e. for 757,655,407 is 1.

Thus, LCM of Fractions is 77256.Finally, LCM of Fractions for 36/757, 74/655, 696/407 is 77256.