Least Common Multiple of 344/627, 160/788, 270/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 344/627, 160/788, 270/818 quickly i.e. 185760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 344/627, 160/788, 270/818 is 185760.

LCM(344/627, 160/788, 270/818) = 185760

LCM of 344/627, 160/788, 270/818

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 344/627,160/788,270/818

Given numbers are 344/627,160/788,270/818

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 344,160,270

Least Common Multiple of Numerators i.e. LCM of 344,160,270 is 185760.

GCF of Denominators means GCF of 627,788,818 as per the given fractions.

GCF of 627,788,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 344,160,270

LCM of Fractions 344/627,160/788,270/818 is 185760

2 344, 160, 270
2 172, 80, 135
2 86, 40, 135
5 43, 20, 135
43, 4, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 43 x 4 x 27 = 185760

Least Common Multiple of 344,160,270 with GCF Formula

Least Common Multiple of 344,160,270 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 344,160,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,160,270) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(344,160,270) x common factors =2 x 40 = 80

LCM(344,160,270) = ( 344 × 160 × 270 ) / 80

LCM(344,160,270) = 14860800 / 80

LCM(344,160,270) = 185760


Lets's calculate GCF of 627,788,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185760/1

Therefore the LCM of Fractions 344/627,160/788,270/818 is 185760

Greatest Common Factor of 627,788,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,788,818 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 627,788,818 . The biggest common factor number is the GCF number.
So the greatest common factor 627,788,818 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 344/627, 160/788, 270/818

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 344/627, 160/788, 270/818?

Answer: LCM of Numerators as per given numbers 344/627, 160/788, 270/818 is

LCM of Numerators i.e. for 344,160,270 is 185760

GCF of denominators i.e. for 627,788,818 is 1.

Thus, LCM of Fractions is 185760.Finally, LCM of Fractions for 344/627, 160/788, 270/818 is 185760.