Least Common Multiple of 40/84, 21/81, 429/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/84, 21/81, 429/185 quickly i.e. 120120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/84, 21/81, 429/185 is 120120.

LCM(40/84, 21/81, 429/185) = 120120

LCM of 40/84, 21/81, 429/185

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 40/84,21/81,429/185

Given numbers are 40/84,21/81,429/185

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 40,21,429

Least Common Multiple of Numerators i.e. LCM of 40,21,429 is 120120.

GCF of Denominators means GCF of 84,81,185 as per the given fractions.

GCF of 84,81,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,21,429

LCM of Fractions 40/84,21/81,429/185 is 120120

3 40, 21, 429
40, 7, 143

∴ So the LCM of the given numbers is 3 x 40 x 7 x 143 = 120120

Least Common Multiple of 40,21,429 with GCF Formula

Least Common Multiple of 40,21,429 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 40,21,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,21,429) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(40,21,429) x common factors =1 x 3 = 3

LCM(40,21,429) = ( 40 × 21 × 429 ) / 3

LCM(40,21,429) = 360360 / 3

LCM(40,21,429) = 120120


Lets's calculate GCF of 84,81,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120120/1

Therefore the LCM of Fractions 40/84,21/81,429/185 is 120120

Greatest Common Factor of 84,81,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,81,185 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 84,81,185 . The biggest common factor number is the GCF number.
So the greatest common factor 84,81,185 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 40/84, 21/81, 429/185

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 40/84, 21/81, 429/185?

Answer: LCM of Numerators as per given numbers 40/84, 21/81, 429/185 is

LCM of Numerators i.e. for 40,21,429 is 120120

GCF of denominators i.e. for 84,81,185 is 1.

Thus, LCM of Fractions is 120120.Finally, LCM of Fractions for 40/84, 21/81, 429/185 is 120120.