Least Common Multiple of 87/165, 40/792, 564/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/165, 40/792, 564/222 quickly i.e. 54520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/165, 40/792, 564/222 is 54520.

LCM(87/165, 40/792, 564/222) = 54520

LCM of 87/165, 40/792, 564/222

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 87/165,40/792,564/222

Given numbers are 87/165,40/792,564/222

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 87,40,564

Least Common Multiple of Numerators i.e. LCM of 87,40,564 is 163560.

GCF of Denominators means GCF of 165,792,222 as per the given fractions.

GCF of 165,792,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,40,564

LCM of Fractions 87/165,40/792,564/222 is 54520

2 87, 40, 564
2 87, 20, 282
3 87, 10, 141
29, 10, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 10 x 47 = 163560

Least Common Multiple of 87,40,564 with GCF Formula

Least Common Multiple of 87,40,564 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 87,40,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,40,564) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,40,564) x common factors =1 x 12 = 12

LCM(87,40,564) = ( 87 × 40 × 564 ) / 12

LCM(87,40,564) = 1962720 / 12

LCM(87,40,564) = 163560


Lets's calculate GCF of 165,792,222

3 165, 792, 222
55, 264, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163560/3

Therefore the LCM of Fractions 87/165,40/792,564/222 is 54520

Greatest Common Factor of 165,792,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,792,222 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 165,792,222 . The biggest common factor number is the GCF number.
So the greatest common factor 165,792,222 is 3.


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 87/165, 40/792, 564/222

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 87/165, 40/792, 564/222?

Answer: LCM of Numerators as per given numbers 87/165, 40/792, 564/222 is

LCM of Numerators i.e. for 87,40,564 is 163560

GCF of denominators i.e. for 165,792,222 is 3.

Thus, LCM of Fractions is 54520.Finally, LCM of Fractions for 87/165, 40/792, 564/222 is 54520.