Least Common Multiple of 120/90, 189/31, 455/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/90, 189/31, 455/816 quickly i.e. 98280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/90, 189/31, 455/816 is 98280.

LCM(120/90, 189/31, 455/816) = 98280

LCM of 120/90, 189/31, 455/816

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 120/90,189/31,455/816

Given numbers are 120/90,189/31,455/816

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 120,189,455

Least Common Multiple of Numerators i.e. LCM of 120,189,455 is 98280.

GCF of Denominators means GCF of 90,31,816 as per the given fractions.

GCF of 90,31,816 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,189,455

LCM of Fractions 120/90,189/31,455/816 is 98280

3 120, 189, 455
5 40, 63, 455
7 8, 63, 91
8, 9, 13

∴ So the LCM of the given numbers is 3 x 5 x 7 x 8 x 9 x 13 = 98280

Least Common Multiple of 120,189,455 with GCF Formula

Least Common Multiple of 120,189,455 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 120,189,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,189,455) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(120,189,455) x common factors =1 x 105 = 105

LCM(120,189,455) = ( 120 × 189 × 455 ) / 105

LCM(120,189,455) = 10319400 / 105

LCM(120,189,455) = 98280


Lets's calculate GCF of 90,31,816

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98280/1

Therefore the LCM of Fractions 120/90,189/31,455/816 is 98280

Greatest Common Factor of 90,31,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,31,816 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 90,31,816 . The biggest common factor number is the GCF number.
So the greatest common factor 90,31,816 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 120/90, 189/31, 455/816

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 120/90, 189/31, 455/816?

Answer: LCM of Numerators as per given numbers 120/90, 189/31, 455/816 is

LCM of Numerators i.e. for 120,189,455 is 98280

GCF of denominators i.e. for 90,31,816 is 1.

Thus, LCM of Fractions is 98280.Finally, LCM of Fractions for 120/90, 189/31, 455/816 is 98280.