Least Common Multiple of 20/382, 31/442, 349/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/382, 31/442, 349/840 quickly i.e. 108190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/382, 31/442, 349/840 is 108190.

LCM(20/382, 31/442, 349/840) = 108190

LCM of 20/382, 31/442, 349/840

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 20/382,31/442,349/840

Given numbers are 20/382,31/442,349/840

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 20,31,349

Least Common Multiple of Numerators i.e. LCM of 20,31,349 is 216380.

GCF of Denominators means GCF of 382,442,840 as per the given fractions.

GCF of 382,442,840 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,31,349

LCM of Fractions 20/382,31/442,349/840 is 108190

Given numbers has no common factors except 1. So, there LCM is their product i.e 216380

Least Common Multiple of 20,31,349 with GCF Formula

Least Common Multiple of 20,31,349 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 20,31,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,31,349) = 1

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

GCF(20,31,349) x common factors =1 x 1 = 1

LCM(20,31,349) = ( 20 × 31 × 349 ) / 1

LCM(20,31,349) = 216380 / 1

LCM(20,31,349) = 216380


Lets's calculate GCF of 382,442,840

2 382, 442, 840
191, 221, 420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216380/2

Therefore the LCM of Fractions 20/382,31/442,349/840 is 108190

Greatest Common Factor of 382,442,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,442,840 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 382,442,840 . The biggest common factor number is the GCF number.
So the greatest common factor 382,442,840 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 20/382, 31/442, 349/840

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 20/382, 31/442, 349/840?

Answer: LCM of Numerators as per given numbers 20/382, 31/442, 349/840 is

LCM of Numerators i.e. for 20,31,349 is 216380

GCF of denominators i.e. for 382,442,840 is 2.

Thus, LCM of Fractions is 108190.Finally, LCM of Fractions for 20/382, 31/442, 349/840 is 108190.