Least Common Multiple of 607/68, 794/57, 180/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/68, 794/57, 180/357 quickly i.e. 43376220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/68, 794/57, 180/357 is 43376220.

LCM(607/68, 794/57, 180/357) = 43376220

LCM of 607/68, 794/57, 180/357

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 607/68,794/57,180/357

Given numbers are 607/68,794/57,180/357

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 607,794,180

Least Common Multiple of Numerators i.e. LCM of 607,794,180 is 43376220.

GCF of Denominators means GCF of 68,57,357 as per the given fractions.

GCF of 68,57,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,794,180

LCM of Fractions 607/68,794/57,180/357 is 43376220

2 607, 794, 180
607, 397, 90

∴ So the LCM of the given numbers is 2 x 607 x 397 x 90 = 43376220

Least Common Multiple of 607,794,180 with GCF Formula

Least Common Multiple of 607,794,180 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 607,794,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,794,180) = 1

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

GCF(607,794,180) x common factors =1 x 2 = 2

LCM(607,794,180) = ( 607 × 794 × 180 ) / 2

LCM(607,794,180) = 86752440 / 2

LCM(607,794,180) = 43376220


Lets's calculate GCF of 68,57,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43376220/1

Therefore the LCM of Fractions 607/68,794/57,180/357 is 43376220

Greatest Common Factor of 68,57,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,57,357 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 68,57,357 . The biggest common factor number is the GCF number.
So the greatest common factor 68,57,357 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 607/68, 794/57, 180/357

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 607/68, 794/57, 180/357?

Answer: LCM of Numerators as per given numbers 607/68, 794/57, 180/357 is

LCM of Numerators i.e. for 607,794,180 is 43376220

GCF of denominators i.e. for 68,57,357 is 1.

Thus, LCM of Fractions is 43376220.Finally, LCM of Fractions for 607/68, 794/57, 180/357 is 43376220.