Least Common Multiple of 91/360, 987/340, 516/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/360, 987/340, 516/644 quickly i.e. 551733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/360, 987/340, 516/644 is 551733.

LCM(91/360, 987/340, 516/644) = 551733

LCM of 91/360, 987/340, 516/644

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 91/360,987/340,516/644

Given numbers are 91/360,987/340,516/644

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 91,987,516

Least Common Multiple of Numerators i.e. LCM of 91,987,516 is 2206932.

GCF of Denominators means GCF of 360,340,644 as per the given fractions.

GCF of 360,340,644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,987,516

LCM of Fractions 91/360,987/340,516/644 is 551733

3 91, 987, 516
7 91, 329, 172
13, 47, 172

∴ So the LCM of the given numbers is 3 x 7 x 13 x 47 x 172 = 2206932

Least Common Multiple of 91,987,516 with GCF Formula

Least Common Multiple of 91,987,516 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 91,987,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,987,516) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(91,987,516) x common factors =1 x 21 = 21

LCM(91,987,516) = ( 91 × 987 × 516 ) / 21

LCM(91,987,516) = 46345572 / 21

LCM(91,987,516) = 2206932


Lets's calculate GCF of 360,340,644

2 360, 340, 644
2 180, 170, 322
90, 85, 161

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2206932/4

Therefore the LCM of Fractions 91/360,987/340,516/644 is 551733

Greatest Common Factor of 360,340,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,340,644 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors 360,340,644 . The biggest common factor number is the GCF number.
So the greatest common factor 360,340,644 is 4.


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 91/360, 987/340, 516/644

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 91/360, 987/340, 516/644?

Answer: LCM of Numerators as per given numbers 91/360, 987/340, 516/644 is

LCM of Numerators i.e. for 91,987,516 is 2206932

GCF of denominators i.e. for 360,340,644 is 4.

Thus, LCM of Fractions is 551733.Finally, LCM of Fractions for 91/360, 987/340, 516/644 is 551733.