Least Common Multiple of 5897/281, 7140/996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5897/281, 7140/996 quickly i.e. 42104580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5897/281, 7140/996 is 42104580.

LCM(5897/281, 7140/996) = 42104580

LCM of 5897/281, 7140/996

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 5897/281,7140/996

Given numbers are 5897/281,7140/996

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 5897,7140

Least Common Multiple of Numerators i.e. LCM of 5897,7140 is 42104580.

GCF of Denominators means GCF of 281,996 as per the given fractions.

GCF of 281,996 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5897,7140

LCM of Fractions 5897/281,7140/996 is 42104580

Given numbers has no common factors except 1. So, there LCM is their product i.e 42104580

Least Common Multiple of 5897,7140 with GCF Formula

Least Common Multiple of 5897,7140 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 5897,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5897,7140) = 1

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

GCF(5897,7140) x common factors =1 x 1 = 1

LCM(5897,7140) = ( 5897 × 7140 ) / 1

LCM(5897,7140) = 42104580 / 1

LCM(5897,7140) = 42104580


Lets's calculate GCF of 281,996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42104580/1

Therefore the LCM of Fractions 5897/281,7140/996 is 42104580

Greatest Common Factor of 281,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,996 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 281,996 . The biggest common factor number is the GCF number.
So the greatest common factor 281,996 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 5897/281, 7140/996

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 5897/281, 7140/996?

Answer: LCM of Numerators as per given numbers 5897/281, 7140/996 is

LCM of Numerators i.e. for 5897,7140 is 42104580

GCF of denominators i.e. for 281,996 is 1.

Thus, LCM of Fractions is 42104580.Finally, LCM of Fractions for 5897/281, 7140/996 is 42104580.