Least Common Multiple of 45/162, 87/779, 609/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/162, 87/779, 609/600 quickly i.e. 9135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/162, 87/779, 609/600 is 9135.

LCM(45/162, 87/779, 609/600) = 9135

LCM of 45/162, 87/779, 609/600

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 45/162,87/779,609/600

Given numbers are 45/162,87/779,609/600

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 45,87,609

Least Common Multiple of Numerators i.e. LCM of 45,87,609 is 9135.

GCF of Denominators means GCF of 162,779,600 as per the given fractions.

GCF of 162,779,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,87,609

LCM of Fractions 45/162,87/779,609/600 is 9135

3 45, 87, 609
29 15, 29, 203
15, 1, 7

∴ So the LCM of the given numbers is 3 x 29 x 15 x 1 x 7 = 9135

Least Common Multiple of 45,87,609 with GCF Formula

Least Common Multiple of 45,87,609 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 45,87,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,87,609) = 3

common factors(in case of two or more numbers have common factors) = 87

GCF(45,87,609) x common factors =3 x 87 = 261

LCM(45,87,609) = ( 45 × 87 × 609 ) / 261

LCM(45,87,609) = 2384235 / 261

LCM(45,87,609) = 9135


Lets's calculate GCF of 162,779,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9135/1

Therefore the LCM of Fractions 45/162,87/779,609/600 is 9135

Greatest Common Factor of 162,779,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,779,600 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 162,779,600 . The biggest common factor number is the GCF number.
So the greatest common factor 162,779,600 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 45/162, 87/779, 609/600

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 45/162, 87/779, 609/600?

Answer: LCM of Numerators as per given numbers 45/162, 87/779, 609/600 is

LCM of Numerators i.e. for 45,87,609 is 9135

GCF of denominators i.e. for 162,779,600 is 1.

Thus, LCM of Fractions is 9135.Finally, LCM of Fractions for 45/162, 87/779, 609/600 is 9135.