Least Common Multiple of 84/96, 32/86, 407/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/96, 32/86, 407/139 quickly i.e. 273504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/96, 32/86, 407/139 is 273504.

LCM(84/96, 32/86, 407/139) = 273504

LCM of 84/96, 32/86, 407/139

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 84/96,32/86,407/139

Given numbers are 84/96,32/86,407/139

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 84,32,407

Least Common Multiple of Numerators i.e. LCM of 84,32,407 is 273504.

GCF of Denominators means GCF of 96,86,139 as per the given fractions.

GCF of 96,86,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,32,407

LCM of Fractions 84/96,32/86,407/139 is 273504

2 84, 32, 407
2 42, 16, 407
21, 8, 407

∴ So the LCM of the given numbers is 2 x 2 x 21 x 8 x 407 = 273504

Least Common Multiple of 84,32,407 with GCF Formula

Least Common Multiple of 84,32,407 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 84,32,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,32,407) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(84,32,407) x common factors =1 x 4 = 4

LCM(84,32,407) = ( 84 × 32 × 407 ) / 4

LCM(84,32,407) = 1094016 / 4

LCM(84,32,407) = 273504


Lets's calculate GCF of 96,86,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273504/1

Therefore the LCM of Fractions 84/96,32/86,407/139 is 273504

Greatest Common Factor of 96,86,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,86,139 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 86

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

1,2,43,86

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 96,86,139 . The biggest common factor number is the GCF number.
So the greatest common factor 96,86,139 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 84/96, 32/86, 407/139

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 84/96, 32/86, 407/139?

Answer: LCM of Numerators as per given numbers 84/96, 32/86, 407/139 is

LCM of Numerators i.e. for 84,32,407 is 273504

GCF of denominators i.e. for 96,86,139 is 1.

Thus, LCM of Fractions is 273504.Finally, LCM of Fractions for 84/96, 32/86, 407/139 is 273504.