Least Common Multiple of 219/97, 159/1865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/97, 159/1865 quickly i.e. 11607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/97, 159/1865 is 11607.

LCM(219/97, 159/1865) = 11607

LCM of 219/97, 159/1865

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 219/97,159/1865

Given numbers are 219/97,159/1865

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 219,159

Least Common Multiple of Numerators i.e. LCM of 219,159 is 11607.

GCF of Denominators means GCF of 97,1865 as per the given fractions.

GCF of 97,1865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,159

LCM of Fractions 219/97,159/1865 is 11607

3 219, 159
73, 53

∴ So the LCM of the given numbers is 3 x 73 x 53 = 11607

Least Common Multiple of 219,159 with GCF Formula

Least Common Multiple of 219,159 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 219,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,159) = 3

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

GCF(219,159) x common factors =3 x 1 = 3

LCM(219,159) = ( 219 × 159 ) / 3

LCM(219,159) = 34821 / 3

LCM(219,159) = 11607


Lets's calculate GCF of 97,1865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11607/1

Therefore the LCM of Fractions 219/97,159/1865 is 11607

Greatest Common Factor of 97,1865 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,1865 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 1865

List of positive integer factors of 1865 that divides 1865 without a remainder.

1,5,373,1865

Greatest Common Factor

We found the factors 97,1865 . The biggest common factor number is the GCF number.
So the greatest common factor 97,1865 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 219/97, 159/1865

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 219/97, 159/1865?

Answer: LCM of Numerators as per given numbers 219/97, 159/1865 is

LCM of Numerators i.e. for 219,159 is 11607

GCF of denominators i.e. for 97,1865 is 1.

Thus, LCM of Fractions is 11607.Finally, LCM of Fractions for 219/97, 159/1865 is 11607.