Least Common Multiple of 31/12, 84/364, 421/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/12, 84/364, 421/166 quickly i.e. 548142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/12, 84/364, 421/166 is 548142.

LCM(31/12, 84/364, 421/166) = 548142

LCM of 31/12, 84/364, 421/166

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 31/12,84/364,421/166

Given numbers are 31/12,84/364,421/166

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 31,84,421

Least Common Multiple of Numerators i.e. LCM of 31,84,421 is 1096284.

GCF of Denominators means GCF of 12,364,166 as per the given fractions.

GCF of 12,364,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,84,421

LCM of Fractions 31/12,84/364,421/166 is 548142

Given numbers has no common factors except 1. So, there LCM is their product i.e 1096284

Least Common Multiple of 31,84,421 with GCF Formula

Least Common Multiple of 31,84,421 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 31,84,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,84,421) = 1

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

GCF(31,84,421) x common factors =1 x 1 = 1

LCM(31,84,421) = ( 31 × 84 × 421 ) / 1

LCM(31,84,421) = 1096284 / 1

LCM(31,84,421) = 1096284


Lets's calculate GCF of 12,364,166

2 12, 364, 166
6, 182, 83

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096284/2

Therefore the LCM of Fractions 31/12,84/364,421/166 is 548142

Greatest Common Factor of 12,364,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,364,166 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

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 12,364,166 . The biggest common factor number is the GCF number.
So the greatest common factor 12,364,166 is 2.


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 31/12, 84/364, 421/166

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 31/12, 84/364, 421/166?

Answer: LCM of Numerators as per given numbers 31/12, 84/364, 421/166 is

LCM of Numerators i.e. for 31,84,421 is 1096284

GCF of denominators i.e. for 12,364,166 is 2.

Thus, LCM of Fractions is 548142.Finally, LCM of Fractions for 31/12, 84/364, 421/166 is 548142.