Least Common Multiple of 2106/755, 5313/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2106/755, 5313/341 quickly i.e. 3729726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2106/755, 5313/341 is 3729726.

LCM(2106/755, 5313/341) = 3729726

LCM of 2106/755, 5313/341

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 2106/755,5313/341

Given numbers are 2106/755,5313/341

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 2106,5313

Least Common Multiple of Numerators i.e. LCM of 2106,5313 is 3729726.

GCF of Denominators means GCF of 755,341 as per the given fractions.

GCF of 755,341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2106,5313

LCM of Fractions 2106/755,5313/341 is 3729726

3 2106, 5313
702, 1771

∴ So the LCM of the given numbers is 3 x 702 x 1771 = 3729726

Least Common Multiple of 2106,5313 with GCF Formula

Least Common Multiple of 2106,5313 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 2106,5313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2106,5313) = 3

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

GCF(2106,5313) x common factors =3 x 1 = 3

LCM(2106,5313) = ( 2106 × 5313 ) / 3

LCM(2106,5313) = 11189178 / 3

LCM(2106,5313) = 3729726


Lets's calculate GCF of 755,341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3729726/1

Therefore the LCM of Fractions 2106/755,5313/341 is 3729726

Greatest Common Factor of 755,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,341 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 755,341 . The biggest common factor number is the GCF number.
So the greatest common factor 755,341 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 2106/755, 5313/341

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 2106/755, 5313/341?

Answer: LCM of Numerators as per given numbers 2106/755, 5313/341 is

LCM of Numerators i.e. for 2106,5313 is 3729726

GCF of denominators i.e. for 755,341 is 1.

Thus, LCM of Fractions is 3729726.Finally, LCM of Fractions for 2106/755, 5313/341 is 3729726.