Least Common Multiple of 216/97, 411/2837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/97, 411/2837 quickly i.e. 29592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/97, 411/2837 is 29592.

LCM(216/97, 411/2837) = 29592

LCM of 216/97, 411/2837

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 216/97,411/2837

Given numbers are 216/97,411/2837

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 216,411

Least Common Multiple of Numerators i.e. LCM of 216,411 is 29592.

GCF of Denominators means GCF of 97,2837 as per the given fractions.

GCF of 97,2837 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,411

LCM of Fractions 216/97,411/2837 is 29592

3 216, 411
72, 137

∴ So the LCM of the given numbers is 3 x 72 x 137 = 29592

Least Common Multiple of 216,411 with GCF Formula

Least Common Multiple of 216,411 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 216,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,411) = 3

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

GCF(216,411) x common factors =3 x 1 = 3

LCM(216,411) = ( 216 × 411 ) / 3

LCM(216,411) = 88776 / 3

LCM(216,411) = 29592


Lets's calculate GCF of 97,2837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29592/1

Therefore the LCM of Fractions 216/97,411/2837 is 29592

Greatest Common Factor of 97,2837 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,2837 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 2837

List of positive integer factors of 2837 that divides 2837 without a remainder.

1,2837

Greatest Common Factor

We found the factors 97,2837 . The biggest common factor number is the GCF number.
So the greatest common factor 97,2837 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 216/97, 411/2837

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 216/97, 411/2837?

Answer: LCM of Numerators as per given numbers 216/97, 411/2837 is

LCM of Numerators i.e. for 216,411 is 29592

GCF of denominators i.e. for 97,2837 is 1.

Thus, LCM of Fractions is 29592.Finally, LCM of Fractions for 216/97, 411/2837 is 29592.