Least Common Multiple of 221/68, 100/2159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 221/68, 100/2159 quickly i.e. 1300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 221/68, 100/2159 is 1300.

LCM(221/68, 100/2159) = 1300

LCM of 221/68, 100/2159

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 221/68,100/2159

Given numbers are 221/68,100/2159

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 221,100

Least Common Multiple of Numerators i.e. LCM of 221,100 is 22100.

GCF of Denominators means GCF of 68,2159 as per the given fractions.

GCF of 68,2159 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 221,100

LCM of Fractions 221/68,100/2159 is 1300

Given numbers has no common factors except 1. So, there LCM is their product i.e 22100

Least Common Multiple of 221,100 with GCF Formula

Least Common Multiple of 221,100 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 221,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,100) = 1

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

GCF(221,100) x common factors =1 x 1 = 1

LCM(221,100) = ( 221 × 100 ) / 1

LCM(221,100) = 22100 / 1

LCM(221,100) = 22100


Lets's calculate GCF of 68,2159

17 68, 2159
4, 127

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22100/17

Therefore the LCM of Fractions 221/68,100/2159 is 1300

Greatest Common Factor of 68,2159 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2159 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2159

List of positive integer factors of 2159 that divides 2159 without a remainder.

1,17,127,2159

Greatest Common Factor

We found the factors 68,2159 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2159 is 17.


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 221/68, 100/2159

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 221/68, 100/2159?

Answer: LCM of Numerators as per given numbers 221/68, 100/2159 is

LCM of Numerators i.e. for 221,100 is 22100

GCF of denominators i.e. for 68,2159 is 17.

Thus, LCM of Fractions is 1300.Finally, LCM of Fractions for 221/68, 100/2159 is 1300.