Least Common Multiple of 13/902, 2071/9460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/902, 2071/9460 quickly i.e. 26923/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/902, 2071/9460 is 26923/22.

LCM(13/902, 2071/9460) = 26923/22

LCM of 13/902, 2071/9460

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 13/902,2071/9460

Given numbers are 13/902,2071/9460

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 13,2071

Least Common Multiple of Numerators i.e. LCM of 13,2071 is 26923.

GCF of Denominators means GCF of 902,9460 as per the given fractions.

GCF of 902,9460 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,2071

LCM of Fractions 13/902,2071/9460 is 26923/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 26923

Least Common Multiple of 13,2071 with GCF Formula

Least Common Multiple of 13,2071 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 13,2071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,2071) = 1

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

GCF(13,2071) x common factors =1 x 1 = 1

LCM(13,2071) = ( 13 × 2071 ) / 1

LCM(13,2071) = 26923 / 1

LCM(13,2071) = 26923


Lets's calculate GCF of 902,9460

2 902, 9460
11 451, 4730
41, 430

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26923/22

Therefore the LCM of Fractions 13/902,2071/9460 is 26923/22

Greatest Common Factor of 902,9460 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,9460 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Greatest Common Factor

We found the factors 902,9460 . The biggest common factor number is the GCF number.
So the greatest common factor 902,9460 is 22.


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 13/902, 2071/9460

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 13/902, 2071/9460?

Answer: LCM of Numerators as per given numbers 13/902, 2071/9460 is

LCM of Numerators i.e. for 13,2071 is 26923

GCF of denominators i.e. for 902,9460 is 22.

Thus, LCM of Fractions is 26923/22.Finally, LCM of Fractions for 13/902, 2071/9460 is 26923/22.