Least Common Multiple of 249/591, 4187/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 249/591, 4187/162 quickly i.e. 347521 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/591, 4187/162 is 347521.

LCM(249/591, 4187/162) = 347521

LCM of 249/591, 4187/162

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 249/591,4187/162

Given numbers are 249/591,4187/162

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 249,4187

Least Common Multiple of Numerators i.e. LCM of 249,4187 is 1042563.

GCF of Denominators means GCF of 591,162 as per the given fractions.

GCF of 591,162 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,4187

LCM of Fractions 249/591,4187/162 is 347521

Given numbers has no common factors except 1. So, there LCM is their product i.e 1042563

Least Common Multiple of 249,4187 with GCF Formula

Least Common Multiple of 249,4187 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 249,4187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,4187) = 1

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

GCF(249,4187) x common factors =1 x 1 = 1

LCM(249,4187) = ( 249 × 4187 ) / 1

LCM(249,4187) = 1042563 / 1

LCM(249,4187) = 1042563


Lets's calculate GCF of 591,162

3 591, 162
197, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1042563/3

Therefore the LCM of Fractions 249/591,4187/162 is 347521

Greatest Common Factor of 591,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,162 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 591,162 . The biggest common factor number is the GCF number.
So the greatest common factor 591,162 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 249/591, 4187/162

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 249/591, 4187/162?

Answer: LCM of Numerators as per given numbers 249/591, 4187/162 is

LCM of Numerators i.e. for 249,4187 is 1042563

GCF of denominators i.e. for 591,162 is 3.

Thus, LCM of Fractions is 347521.Finally, LCM of Fractions for 249/591, 4187/162 is 347521.