Least Common Multiple of 573/67, 131/8649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 573/67, 131/8649 quickly i.e. 75063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 573/67, 131/8649 is 75063.

LCM(573/67, 131/8649) = 75063

LCM of 573/67, 131/8649

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 573/67,131/8649

Given numbers are 573/67,131/8649

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 573,131

Least Common Multiple of Numerators i.e. LCM of 573,131 is 75063.

GCF of Denominators means GCF of 67,8649 as per the given fractions.

GCF of 67,8649 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 573,131

LCM of Fractions 573/67,131/8649 is 75063

Given numbers has no common factors except 1. So, there LCM is their product i.e 75063

Least Common Multiple of 573,131 with GCF Formula

Least Common Multiple of 573,131 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 573,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,131) = 1

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

GCF(573,131) x common factors =1 x 1 = 1

LCM(573,131) = ( 573 × 131 ) / 1

LCM(573,131) = 75063 / 1

LCM(573,131) = 75063


Lets's calculate GCF of 67,8649

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75063/1

Therefore the LCM of Fractions 573/67,131/8649 is 75063

Greatest Common Factor of 67,8649 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,8649 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 8649

List of positive integer factors of 8649 that divides 8649 without a remainder.

1,3,9,31,93,279,961,2883,8649

Greatest Common Factor

We found the factors 67,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 67,8649 is 1.


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 573/67, 131/8649

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 573/67, 131/8649?

Answer: LCM of Numerators as per given numbers 573/67, 131/8649 is

LCM of Numerators i.e. for 573,131 is 75063

GCF of denominators i.e. for 67,8649 is 1.

Thus, LCM of Fractions is 75063.Finally, LCM of Fractions for 573/67, 131/8649 is 75063.