Least Common Multiple of 722/82, 180/1108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/82, 180/1108 quickly i.e. 32490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/82, 180/1108 is 32490.

LCM(722/82, 180/1108) = 32490

LCM of 722/82, 180/1108

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 722/82,180/1108

Given numbers are 722/82,180/1108

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 722,180

Least Common Multiple of Numerators i.e. LCM of 722,180 is 64980.

GCF of Denominators means GCF of 82,1108 as per the given fractions.

GCF of 82,1108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,180

LCM of Fractions 722/82,180/1108 is 32490

2 722, 180
361, 90

∴ So the LCM of the given numbers is 2 x 361 x 90 = 64980

Least Common Multiple of 722,180 with GCF Formula

Least Common Multiple of 722,180 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 722,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,180) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(722,180) x common factors =2 x 1 = 2

LCM(722,180) = ( 722 × 180 ) / 2

LCM(722,180) = 129960 / 2

LCM(722,180) = 64980


Lets's calculate GCF of 82,1108

2 82, 1108
41, 554

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64980/2

Therefore the LCM of Fractions 722/82,180/1108 is 32490

Greatest Common Factor of 82,1108 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,1108 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1,2,4,277,554,1108

Greatest Common Factor

We found the factors 82,1108 . The biggest common factor number is the GCF number.
So the greatest common factor 82,1108 is 2.


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 722/82, 180/1108

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 722/82, 180/1108?

Answer: LCM of Numerators as per given numbers 722/82, 180/1108 is

LCM of Numerators i.e. for 722,180 is 64980

GCF of denominators i.e. for 82,1108 is 2.

Thus, LCM of Fractions is 32490.Finally, LCM of Fractions for 722/82, 180/1108 is 32490.