Least Common Multiple of 573/130, 4661/7072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 573/130, 4661/7072 quickly i.e. 2670753/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 573/130, 4661/7072 is 2670753/26.

LCM(573/130, 4661/7072) = 2670753/26

LCM of 573/130, 4661/7072

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 573/130,4661/7072

Given numbers are 573/130,4661/7072

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 573,4661

Least Common Multiple of Numerators i.e. LCM of 573,4661 is 2670753.

GCF of Denominators means GCF of 130,7072 as per the given fractions.

GCF of 130,7072 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 573,4661

LCM of Fractions 573/130,4661/7072 is 2670753/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 2670753

Least Common Multiple of 573,4661 with GCF Formula

Least Common Multiple of 573,4661 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 573,4661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,4661) = 1

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

GCF(573,4661) x common factors =1 x 1 = 1

LCM(573,4661) = ( 573 × 4661 ) / 1

LCM(573,4661) = 2670753 / 1

LCM(573,4661) = 2670753


Lets's calculate GCF of 130,7072

2 130, 7072
13 65, 3536
5, 272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2670753/26

Therefore the LCM of Fractions 573/130,4661/7072 is 2670753/26

Greatest Common Factor of 130,7072 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,7072 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 7072

List of positive integer factors of 7072 that divides 7072 without a remainder.

1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072

Greatest Common Factor

We found the factors 130,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 130,7072 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 573/130, 4661/7072

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 573/130, 4661/7072?

Answer: LCM of Numerators as per given numbers 573/130, 4661/7072 is

LCM of Numerators i.e. for 573,4661 is 2670753

GCF of denominators i.e. for 130,7072 is 26.

Thus, LCM of Fractions is 2670753/26.Finally, LCM of Fractions for 573/130, 4661/7072 is 2670753/26.