Least Common Multiple of 139/74, 163/39, 813/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 139/74, 163/39, 813/420 quickly i.e. 18420141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 139/74, 163/39, 813/420 is 18420141.

LCM(139/74, 163/39, 813/420) = 18420141

LCM of 139/74, 163/39, 813/420

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 139/74,163/39,813/420

Given numbers are 139/74,163/39,813/420

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 139,163,813

Least Common Multiple of Numerators i.e. LCM of 139,163,813 is 18420141.

GCF of Denominators means GCF of 74,39,420 as per the given fractions.

GCF of 74,39,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 139,163,813

LCM of Fractions 139/74,163/39,813/420 is 18420141

Given numbers has no common factors except 1. So, there LCM is their product i.e 18420141

Least Common Multiple of 139,163,813 with GCF Formula

Least Common Multiple of 139,163,813 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 139,163,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,163,813) = 1

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

GCF(139,163,813) x common factors =1 x 1 = 1

LCM(139,163,813) = ( 139 × 163 × 813 ) / 1

LCM(139,163,813) = 18420141 / 1

LCM(139,163,813) = 18420141


Lets's calculate GCF of 74,39,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18420141/1

Therefore the LCM of Fractions 139/74,163/39,813/420 is 18420141

Greatest Common Factor of 74,39,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,39,420 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 74,39,420 . The biggest common factor number is the GCF number.
So the greatest common factor 74,39,420 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 139/74, 163/39, 813/420

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 139/74, 163/39, 813/420?

Answer: LCM of Numerators as per given numbers 139/74, 163/39, 813/420 is

LCM of Numerators i.e. for 139,163,813 is 18420141

GCF of denominators i.e. for 74,39,420 is 1.

Thus, LCM of Fractions is 18420141.Finally, LCM of Fractions for 139/74, 163/39, 813/420 is 18420141.