Least Common Multiple of 36/157, 792/358, 351/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/157, 792/358, 351/791 quickly i.e. 30888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/157, 792/358, 351/791 is 30888.

LCM(36/157, 792/358, 351/791) = 30888

LCM of 36/157, 792/358, 351/791

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 36/157,792/358,351/791

Given numbers are 36/157,792/358,351/791

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 36,792,351

Least Common Multiple of Numerators i.e. LCM of 36,792,351 is 30888.

GCF of Denominators means GCF of 157,358,791 as per the given fractions.

GCF of 157,358,791 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,792,351

LCM of Fractions 36/157,792/358,351/791 is 30888

2 36, 792, 351
2 18, 396, 351
3 9, 198, 351
3 3, 66, 117
1, 22, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 22 x 39 = 30888

Least Common Multiple of 36,792,351 with GCF Formula

Least Common Multiple of 36,792,351 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 36,792,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,792,351) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(36,792,351) x common factors =9 x 36 = 324

LCM(36,792,351) = ( 36 × 792 × 351 ) / 324

LCM(36,792,351) = 10007712 / 324

LCM(36,792,351) = 30888


Lets's calculate GCF of 157,358,791

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30888/1

Therefore the LCM of Fractions 36/157,792/358,351/791 is 30888

Greatest Common Factor of 157,358,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,358,791 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 157,358,791 . The biggest common factor number is the GCF number.
So the greatest common factor 157,358,791 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 36/157, 792/358, 351/791

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 36/157, 792/358, 351/791?

Answer: LCM of Numerators as per given numbers 36/157, 792/358, 351/791 is

LCM of Numerators i.e. for 36,792,351 is 30888

GCF of denominators i.e. for 157,358,791 is 1.

Thus, LCM of Fractions is 30888.Finally, LCM of Fractions for 36/157, 792/358, 351/791 is 30888.