Least Common Multiple of 249/46, 229/59, 620/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 249/46, 229/59, 620/181 quickly i.e. 35353020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/46, 229/59, 620/181 is 35353020.

LCM(249/46, 229/59, 620/181) = 35353020

LCM of 249/46, 229/59, 620/181

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 249/46,229/59,620/181

Given numbers are 249/46,229/59,620/181

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 249,229,620

Least Common Multiple of Numerators i.e. LCM of 249,229,620 is 35353020.

GCF of Denominators means GCF of 46,59,181 as per the given fractions.

GCF of 46,59,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,229,620

LCM of Fractions 249/46,229/59,620/181 is 35353020

Given numbers has no common factors except 1. So, there LCM is their product i.e 35353020

Least Common Multiple of 249,229,620 with GCF Formula

Least Common Multiple of 249,229,620 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 249,229,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,229,620) = 1

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

GCF(249,229,620) x common factors =1 x 1 = 1

LCM(249,229,620) = ( 249 × 229 × 620 ) / 1

LCM(249,229,620) = 35353020 / 1

LCM(249,229,620) = 35353020


Lets's calculate GCF of 46,59,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35353020/1

Therefore the LCM of Fractions 249/46,229/59,620/181 is 35353020

Greatest Common Factor of 46,59,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,59,181 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 46,59,181 . The biggest common factor number is the GCF number.
So the greatest common factor 46,59,181 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 249/46, 229/59, 620/181

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 249/46, 229/59, 620/181?

Answer: LCM of Numerators as per given numbers 249/46, 229/59, 620/181 is

LCM of Numerators i.e. for 249,229,620 is 35353020

GCF of denominators i.e. for 46,59,181 is 1.

Thus, LCM of Fractions is 35353020.Finally, LCM of Fractions for 249/46, 229/59, 620/181 is 35353020.