Least Common Multiple of 84/268, 35/536, 165/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/268, 35/536, 165/163 quickly i.e. 4620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/268, 35/536, 165/163 is 4620.

LCM(84/268, 35/536, 165/163) = 4620

LCM of 84/268, 35/536, 165/163

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 84/268,35/536,165/163

Given numbers are 84/268,35/536,165/163

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 84,35,165

Least Common Multiple of Numerators i.e. LCM of 84,35,165 is 4620.

GCF of Denominators means GCF of 268,536,163 as per the given fractions.

GCF of 268,536,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,35,165

LCM of Fractions 84/268,35/536,165/163 is 4620

3 84, 35, 165
5 28, 35, 55
7 28, 7, 11
4, 1, 11

∴ So the LCM of the given numbers is 3 x 5 x 7 x 4 x 1 x 11 = 4620

Least Common Multiple of 84,35,165 with GCF Formula

Least Common Multiple of 84,35,165 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 84,35,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,35,165) = 1

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

GCF(84,35,165) x common factors =1 x 105 = 105

LCM(84,35,165) = ( 84 × 35 × 165 ) / 105

LCM(84,35,165) = 485100 / 105

LCM(84,35,165) = 4620


Lets's calculate GCF of 268,536,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4620/1

Therefore the LCM of Fractions 84/268,35/536,165/163 is 4620

Greatest Common Factor of 268,536,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,536,163 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 268,536,163 . The biggest common factor number is the GCF number.
So the greatest common factor 268,536,163 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 84/268, 35/536, 165/163

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 84/268, 35/536, 165/163?

Answer: LCM of Numerators as per given numbers 84/268, 35/536, 165/163 is

LCM of Numerators i.e. for 84,35,165 is 4620

GCF of denominators i.e. for 268,536,163 is 1.

Thus, LCM of Fractions is 4620.Finally, LCM of Fractions for 84/268, 35/536, 165/163 is 4620.