Least Common Multiple of 5801/814, 6942/2651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5801/814, 6942/2651 quickly i.e. 40270542/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5801/814, 6942/2651 is 40270542/11.

LCM(5801/814, 6942/2651) = 40270542/11

LCM of 5801/814, 6942/2651

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 5801/814,6942/2651

Given numbers are 5801/814,6942/2651

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 5801,6942

Least Common Multiple of Numerators i.e. LCM of 5801,6942 is 40270542.

GCF of Denominators means GCF of 814,2651 as per the given fractions.

GCF of 814,2651 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5801,6942

LCM of Fractions 5801/814,6942/2651 is 40270542/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 40270542

Least Common Multiple of 5801,6942 with GCF Formula

Least Common Multiple of 5801,6942 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 5801,6942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5801,6942) = 1

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

GCF(5801,6942) x common factors =1 x 1 = 1

LCM(5801,6942) = ( 5801 × 6942 ) / 1

LCM(5801,6942) = 40270542 / 1

LCM(5801,6942) = 40270542


Lets's calculate GCF of 814,2651

11 814, 2651
74, 241

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40270542/11

Therefore the LCM of Fractions 5801/814,6942/2651 is 40270542/11

Greatest Common Factor of 814,2651 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,2651 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 2651

List of positive integer factors of 2651 that divides 2651 without a remainder.

1,11,241,2651

Greatest Common Factor

We found the factors 814,2651 . The biggest common factor number is the GCF number.
So the greatest common factor 814,2651 is 11.


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 5801/814, 6942/2651

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 5801/814, 6942/2651?

Answer: LCM of Numerators as per given numbers 5801/814, 6942/2651 is

LCM of Numerators i.e. for 5801,6942 is 40270542

GCF of denominators i.e. for 814,2651 is 11.

Thus, LCM of Fractions is 40270542/11.Finally, LCM of Fractions for 5801/814, 6942/2651 is 40270542/11.