Least Common Multiple of 1217/221, 2124/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1217/221, 2124/429 quickly i.e. 2584908/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1217/221, 2124/429 is 2584908/13.

LCM(1217/221, 2124/429) = 2584908/13

LCM of 1217/221, 2124/429

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 1217/221,2124/429

Given numbers are 1217/221,2124/429

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 1217,2124

Least Common Multiple of Numerators i.e. LCM of 1217,2124 is 2584908.

GCF of Denominators means GCF of 221,429 as per the given fractions.

GCF of 221,429 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1217,2124

LCM of Fractions 1217/221,2124/429 is 2584908/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 2584908

Least Common Multiple of 1217,2124 with GCF Formula

Least Common Multiple of 1217,2124 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 1217,2124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1217,2124) = 1

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

GCF(1217,2124) x common factors =1 x 1 = 1

LCM(1217,2124) = ( 1217 × 2124 ) / 1

LCM(1217,2124) = 2584908 / 1

LCM(1217,2124) = 2584908


Lets's calculate GCF of 221,429

13 221, 429
17, 33

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2584908/13

Therefore the LCM of Fractions 1217/221,2124/429 is 2584908/13

Greatest Common Factor of 221,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 221,429 By Matching Biggest Common Factor Method

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 221,429 . The biggest common factor number is the GCF number.
So the greatest common factor 221,429 is 13.


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 1217/221, 2124/429

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 1217/221, 2124/429?

Answer: LCM of Numerators as per given numbers 1217/221, 2124/429 is

LCM of Numerators i.e. for 1217,2124 is 2584908

GCF of denominators i.e. for 221,429 is 13.

Thus, LCM of Fractions is 2584908/13.Finally, LCM of Fractions for 1217/221, 2124/429 is 2584908/13.