Least Common Multiple of 84/13, 31/35, 55/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/13, 31/35, 55/86 quickly i.e. 143220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/13, 31/35, 55/86 is 143220.

LCM(84/13, 31/35, 55/86) = 143220

LCM of 84/13, 31/35, 55/86

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 84/13,31/35,55/86

Given numbers are 84/13,31/35,55/86

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 84,31,55

Least Common Multiple of Numerators i.e. LCM of 84,31,55 is 143220.

GCF of Denominators means GCF of 13,35,86 as per the given fractions.

GCF of 13,35,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,31,55

LCM of Fractions 84/13,31/35,55/86 is 143220

Given numbers has no common factors except 1. So, there LCM is their product i.e 143220

Least Common Multiple of 84,31,55 with GCF Formula

Least Common Multiple of 84,31,55 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 84,31,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,31,55) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(84,31,55) x common factors =1 x 1 = 1

LCM(84,31,55) = ( 84 × 31 × 55 ) / 1

LCM(84,31,55) = 143220 / 1

LCM(84,31,55) = 143220


Lets's calculate GCF of 13,35,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143220/1

Therefore the LCM of Fractions 84/13,31/35,55/86 is 143220

Greatest Common Factor of 13,35,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,35,86 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 13,35,86 . The biggest common factor number is the GCF number.
So the greatest common factor 13,35,86 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 84/13, 31/35, 55/86

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 84/13, 31/35, 55/86?

Answer: LCM of Numerators as per given numbers 84/13, 31/35, 55/86 is

LCM of Numerators i.e. for 84,31,55 is 143220

GCF of denominators i.e. for 13,35,86 is 1.

Thus, LCM of Fractions is 143220.Finally, LCM of Fractions for 84/13, 31/35, 55/86 is 143220.