Least Common Multiple of 36/659, 28/185, 540/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/659, 28/185, 540/166 quickly i.e. 3780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/659, 28/185, 540/166 is 3780.

LCM(36/659, 28/185, 540/166) = 3780

LCM of 36/659, 28/185, 540/166

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 36/659,28/185,540/166

Given numbers are 36/659,28/185,540/166

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 36,28,540

Least Common Multiple of Numerators i.e. LCM of 36,28,540 is 3780.

GCF of Denominators means GCF of 659,185,166 as per the given fractions.

GCF of 659,185,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,28,540

LCM of Fractions 36/659,28/185,540/166 is 3780

2 36, 28, 540
2 18, 14, 270
3 9, 7, 135
3 3, 7, 45
1, 7, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 7 x 15 = 3780

Least Common Multiple of 36,28,540 with GCF Formula

Least Common Multiple of 36,28,540 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 36,28,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,28,540) = 4

common factors(in case of two or more numbers have common factors) = 36

GCF(36,28,540) x common factors =4 x 36 = 144

LCM(36,28,540) = ( 36 × 28 × 540 ) / 144

LCM(36,28,540) = 544320 / 144

LCM(36,28,540) = 3780


Lets's calculate GCF of 659,185,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3780/1

Therefore the LCM of Fractions 36/659,28/185,540/166 is 3780

Greatest Common Factor of 659,185,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,185,166 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 659,185,166 . The biggest common factor number is the GCF number.
So the greatest common factor 659,185,166 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 36/659, 28/185, 540/166

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 36/659, 28/185, 540/166?

Answer: LCM of Numerators as per given numbers 36/659, 28/185, 540/166 is

LCM of Numerators i.e. for 36,28,540 is 3780

GCF of denominators i.e. for 659,185,166 is 1.

Thus, LCM of Fractions is 3780.Finally, LCM of Fractions for 36/659, 28/185, 540/166 is 3780.