Least Common Multiple of 4277/237, 5197/8220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4277/237, 5197/8220 quickly i.e. 22227569/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4277/237, 5197/8220 is 22227569/3.

LCM(4277/237, 5197/8220) = 22227569/3

LCM of 4277/237, 5197/8220

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 4277/237,5197/8220

Given numbers are 4277/237,5197/8220

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 4277,5197

Least Common Multiple of Numerators i.e. LCM of 4277,5197 is 22227569.

GCF of Denominators means GCF of 237,8220 as per the given fractions.

GCF of 237,8220 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4277,5197

LCM of Fractions 4277/237,5197/8220 is 22227569/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 22227569

Least Common Multiple of 4277,5197 with GCF Formula

Least Common Multiple of 4277,5197 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 4277,5197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4277,5197) = 1

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

GCF(4277,5197) x common factors =1 x 1 = 1

LCM(4277,5197) = ( 4277 × 5197 ) / 1

LCM(4277,5197) = 22227569 / 1

LCM(4277,5197) = 22227569


Lets's calculate GCF of 237,8220

3 237, 8220
79, 2740

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22227569/3

Therefore the LCM of Fractions 4277/237,5197/8220 is 22227569/3

Greatest Common Factor of 237,8220 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,8220 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors 237,8220 . The biggest common factor number is the GCF number.
So the greatest common factor 237,8220 is 3.


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 4277/237, 5197/8220

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 4277/237, 5197/8220?

Answer: LCM of Numerators as per given numbers 4277/237, 5197/8220 is

LCM of Numerators i.e. for 4277,5197 is 22227569

GCF of denominators i.e. for 237,8220 is 3.

Thus, LCM of Fractions is 22227569/3.Finally, LCM of Fractions for 4277/237, 5197/8220 is 22227569/3.