Least Common Multiple of 301/143, 7570/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/143, 7570/539 quickly i.e. 2278570/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/143, 7570/539 is 2278570/11.

LCM(301/143, 7570/539) = 2278570/11

LCM of 301/143, 7570/539

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 301/143,7570/539

Given numbers are 301/143,7570/539

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 301,7570

Least Common Multiple of Numerators i.e. LCM of 301,7570 is 2278570.

GCF of Denominators means GCF of 143,539 as per the given fractions.

GCF of 143,539 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,7570

LCM of Fractions 301/143,7570/539 is 2278570/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 2278570

Least Common Multiple of 301,7570 with GCF Formula

Least Common Multiple of 301,7570 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 301,7570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,7570) = 1

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

GCF(301,7570) x common factors =1 x 1 = 1

LCM(301,7570) = ( 301 × 7570 ) / 1

LCM(301,7570) = 2278570 / 1

LCM(301,7570) = 2278570


Lets's calculate GCF of 143,539

11 143, 539
13, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2278570/11

Therefore the LCM of Fractions 301/143,7570/539 is 2278570/11

Greatest Common Factor of 143,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,539 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 143,539 . The biggest common factor number is the GCF number.
So the greatest common factor 143,539 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 301/143, 7570/539

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 301/143, 7570/539?

Answer: LCM of Numerators as per given numbers 301/143, 7570/539 is

LCM of Numerators i.e. for 301,7570 is 2278570

GCF of denominators i.e. for 143,539 is 11.

Thus, LCM of Fractions is 2278570/11.Finally, LCM of Fractions for 301/143, 7570/539 is 2278570/11.