Least Common Multiple of 143/540, 7097/5271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 143/540, 7097/5271 quickly i.e. 1014871/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 143/540, 7097/5271 is 1014871/3.

LCM(143/540, 7097/5271) = 1014871/3

LCM of 143/540, 7097/5271

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 143/540,7097/5271

Given numbers are 143/540,7097/5271

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 143,7097

Least Common Multiple of Numerators i.e. LCM of 143,7097 is 1014871.

GCF of Denominators means GCF of 540,5271 as per the given fractions.

GCF of 540,5271 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 143,7097

LCM of Fractions 143/540,7097/5271 is 1014871/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1014871

Least Common Multiple of 143,7097 with GCF Formula

Least Common Multiple of 143,7097 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 143,7097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,7097) = 1

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

GCF(143,7097) x common factors =1 x 1 = 1

LCM(143,7097) = ( 143 × 7097 ) / 1

LCM(143,7097) = 1014871 / 1

LCM(143,7097) = 1014871


Lets's calculate GCF of 540,5271

3 540, 5271
180, 1757

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1014871/3

Therefore the LCM of Fractions 143/540,7097/5271 is 1014871/3

Greatest Common Factor of 540,5271 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,5271 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 5271

List of positive integer factors of 5271 that divides 5271 without a remainder.

1,3,7,21,251,753,1757,5271

Greatest Common Factor

We found the factors 540,5271 . The biggest common factor number is the GCF number.
So the greatest common factor 540,5271 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 143/540, 7097/5271

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 143/540, 7097/5271?

Answer: LCM of Numerators as per given numbers 143/540, 7097/5271 is

LCM of Numerators i.e. for 143,7097 is 1014871

GCF of denominators i.e. for 540,5271 is 3.

Thus, LCM of Fractions is 1014871/3.Finally, LCM of Fractions for 143/540, 7097/5271 is 1014871/3.