Least Common Multiple of 5270/26, 1541/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5270/26, 1541/442 quickly i.e. 8121070/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5270/26, 1541/442 is 8121070/26.

LCM(5270/26, 1541/442) = 8121070/26

LCM of 5270/26, 1541/442

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 5270/26,1541/442

Given numbers are 5270/26,1541/442

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 5270,1541

Least Common Multiple of Numerators i.e. LCM of 5270,1541 is 8121070.

GCF of Denominators means GCF of 26,442 as per the given fractions.

GCF of 26,442 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5270,1541

LCM of Fractions 5270/26,1541/442 is 8121070/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 8121070

Least Common Multiple of 5270,1541 with GCF Formula

Least Common Multiple of 5270,1541 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 5270,1541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5270,1541) = 1

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

GCF(5270,1541) x common factors =1 x 1 = 1

LCM(5270,1541) = ( 5270 × 1541 ) / 1

LCM(5270,1541) = 8121070 / 1

LCM(5270,1541) = 8121070


Lets's calculate GCF of 26,442

2 26, 442
13 13, 221
1, 17

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8121070/26

Therefore the LCM of Fractions 5270/26,1541/442 is 8121070/26

Greatest Common Factor of 26,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,442 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 26,442 . The biggest common factor number is the GCF number.
So the greatest common factor 26,442 is 26.


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 5270/26, 1541/442

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 5270/26, 1541/442?

Answer: LCM of Numerators as per given numbers 5270/26, 1541/442 is

LCM of Numerators i.e. for 5270,1541 is 8121070

GCF of denominators i.e. for 26,442 is 26.

Thus, LCM of Fractions is 8121070/26.Finally, LCM of Fractions for 5270/26, 1541/442 is 8121070/26.