Least Common Multiple of 365/740, 540/980, 327/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 365/740, 540/980, 327/959 quickly i.e. 4296780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 365/740, 540/980, 327/959 is 4296780.

LCM(365/740, 540/980, 327/959) = 4296780

LCM of 365/740, 540/980, 327/959

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 365/740,540/980,327/959

Given numbers are 365/740,540/980,327/959

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 365,540,327

Least Common Multiple of Numerators i.e. LCM of 365,540,327 is 4296780.

GCF of Denominators means GCF of 740,980,959 as per the given fractions.

GCF of 740,980,959 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 365,540,327

LCM of Fractions 365/740,540/980,327/959 is 4296780

3 365, 540, 327
5 365, 180, 109
73, 36, 109

∴ So the LCM of the given numbers is 3 x 5 x 73 x 36 x 109 = 4296780

Least Common Multiple of 365,540,327 with GCF Formula

Least Common Multiple of 365,540,327 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 365,540,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,540,327) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(365,540,327) x common factors =1 x 15 = 15

LCM(365,540,327) = ( 365 × 540 × 327 ) / 15

LCM(365,540,327) = 64451700 / 15

LCM(365,540,327) = 4296780


Lets's calculate GCF of 740,980,959

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4296780/1

Therefore the LCM of Fractions 365/740,540/980,327/959 is 4296780

Greatest Common Factor of 740,980,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,980,959 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 740,980,959 . The biggest common factor number is the GCF number.
So the greatest common factor 740,980,959 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 365/740, 540/980, 327/959

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 365/740, 540/980, 327/959?

Answer: LCM of Numerators as per given numbers 365/740, 540/980, 327/959 is

LCM of Numerators i.e. for 365,540,327 is 4296780

GCF of denominators i.e. for 740,980,959 is 1.

Thus, LCM of Fractions is 4296780.Finally, LCM of Fractions for 365/740, 540/980, 327/959 is 4296780.