Least Common Multiple of 413/84, 338/2680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 413/84, 338/2680 quickly i.e. 139594/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/84, 338/2680 is 139594/4.

LCM(413/84, 338/2680) = 139594/4

LCM of 413/84, 338/2680

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 413/84,338/2680

Given numbers are 413/84,338/2680

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 413,338

Least Common Multiple of Numerators i.e. LCM of 413,338 is 139594.

GCF of Denominators means GCF of 84,2680 as per the given fractions.

GCF of 84,2680 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,338

LCM of Fractions 413/84,338/2680 is 139594/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 139594

Least Common Multiple of 413,338 with GCF Formula

Least Common Multiple of 413,338 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 413,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,338) = 1

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

GCF(413,338) x common factors =1 x 1 = 1

LCM(413,338) = ( 413 × 338 ) / 1

LCM(413,338) = 139594 / 1

LCM(413,338) = 139594


Lets's calculate GCF of 84,2680

2 84, 2680
2 42, 1340
21, 670

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139594/4

Therefore the LCM of Fractions 413/84,338/2680 is 139594/4

Greatest Common Factor of 84,2680 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,2680 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 2680

List of positive integer factors of 2680 that divides 2680 without a remainder.

1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680

Greatest Common Factor

We found the factors 84,2680 . The biggest common factor number is the GCF number.
So the greatest common factor 84,2680 is 4.


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 413/84, 338/2680

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 413/84, 338/2680?

Answer: LCM of Numerators as per given numbers 413/84, 338/2680 is

LCM of Numerators i.e. for 413,338 is 139594

GCF of denominators i.e. for 84,2680 is 4.

Thus, LCM of Fractions is 139594/4.Finally, LCM of Fractions for 413/84, 338/2680 is 139594/4.