Least Common Multiple of 36/577, 40/167, 810/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/577, 40/167, 810/117 quickly i.e. 3240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/577, 40/167, 810/117 is 3240.

LCM(36/577, 40/167, 810/117) = 3240

LCM of 36/577, 40/167, 810/117

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 36/577,40/167,810/117

Given numbers are 36/577,40/167,810/117

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 36,40,810

Least Common Multiple of Numerators i.e. LCM of 36,40,810 is 3240.

GCF of Denominators means GCF of 577,167,117 as per the given fractions.

GCF of 577,167,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,40,810

LCM of Fractions 36/577,40/167,810/117 is 3240

2 36, 40, 810
2 18, 20, 405
3 9, 10, 405
3 3, 10, 135
5 1, 10, 45
1, 2, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 2 x 9 = 3240

Least Common Multiple of 36,40,810 with GCF Formula

Least Common Multiple of 36,40,810 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 36,40,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,40,810) = 2

common factors(in case of two or more numbers have common factors) = 180

GCF(36,40,810) x common factors =2 x 180 = 360

LCM(36,40,810) = ( 36 × 40 × 810 ) / 360

LCM(36,40,810) = 1166400 / 360

LCM(36,40,810) = 3240


Lets's calculate GCF of 577,167,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/1

Therefore the LCM of Fractions 36/577,40/167,810/117 is 3240

Greatest Common Factor of 577,167,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,167,117 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 577,167,117 . The biggest common factor number is the GCF number.
So the greatest common factor 577,167,117 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 36/577, 40/167, 810/117

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 36/577, 40/167, 810/117?

Answer: LCM of Numerators as per given numbers 36/577, 40/167, 810/117 is

LCM of Numerators i.e. for 36,40,810 is 3240

GCF of denominators i.e. for 577,167,117 is 1.

Thus, LCM of Fractions is 3240.Finally, LCM of Fractions for 36/577, 40/167, 810/117 is 3240.