Least Common Multiple of 84/68, 58/48, 167/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/68, 58/48, 167/219 quickly i.e. 406812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/68, 58/48, 167/219 is 406812.

LCM(84/68, 58/48, 167/219) = 406812

LCM of 84/68, 58/48, 167/219

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 84/68,58/48,167/219

Given numbers are 84/68,58/48,167/219

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 84,58,167

Least Common Multiple of Numerators i.e. LCM of 84,58,167 is 406812.

GCF of Denominators means GCF of 68,48,219 as per the given fractions.

GCF of 68,48,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,58,167

LCM of Fractions 84/68,58/48,167/219 is 406812

2 84, 58, 167
42, 29, 167

∴ So the LCM of the given numbers is 2 x 42 x 29 x 167 = 406812

Least Common Multiple of 84,58,167 with GCF Formula

Least Common Multiple of 84,58,167 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 84,58,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,58,167) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,58,167) x common factors =1 x 2 = 2

LCM(84,58,167) = ( 84 × 58 × 167 ) / 2

LCM(84,58,167) = 813624 / 2

LCM(84,58,167) = 406812


Lets's calculate GCF of 68,48,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 406812/1

Therefore the LCM of Fractions 84/68,58/48,167/219 is 406812

Greatest Common Factor of 68,48,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,48,219 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 68,48,219 . The biggest common factor number is the GCF number.
So the greatest common factor 68,48,219 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 84/68, 58/48, 167/219

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 84/68, 58/48, 167/219?

Answer: LCM of Numerators as per given numbers 84/68, 58/48, 167/219 is

LCM of Numerators i.e. for 84,58,167 is 406812

GCF of denominators i.e. for 68,48,219 is 1.

Thus, LCM of Fractions is 406812.Finally, LCM of Fractions for 84/68, 58/48, 167/219 is 406812.