Least Common Multiple of 249/12, 762/1611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/12, 762/1611 quickly i.e. 21082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/12, 762/1611 is 21082.

LCM(249/12, 762/1611) = 21082

LCM of 249/12, 762/1611

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 249/12,762/1611

Given numbers are 249/12,762/1611

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 249,762

Least Common Multiple of Numerators i.e. LCM of 249,762 is 63246.

GCF of Denominators means GCF of 12,1611 as per the given fractions.

GCF of 12,1611 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,762

LCM of Fractions 249/12,762/1611 is 21082

3 249, 762
83, 254

∴ So the LCM of the given numbers is 3 x 83 x 254 = 63246

Least Common Multiple of 249,762 with GCF Formula

Least Common Multiple of 249,762 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 249,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,762) = 3

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

GCF(249,762) x common factors =3 x 1 = 3

LCM(249,762) = ( 249 × 762 ) / 3

LCM(249,762) = 189738 / 3

LCM(249,762) = 63246


Lets's calculate GCF of 12,1611

3 12, 1611
4, 537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63246/3

Therefore the LCM of Fractions 249/12,762/1611 is 21082

Greatest Common Factor of 12,1611 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,1611 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 1611

List of positive integer factors of 1611 that divides 1611 without a remainder.

1,3,9,179,537,1611

Greatest Common Factor

We found the factors 12,1611 . The biggest common factor number is the GCF number.
So the greatest common factor 12,1611 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 249/12, 762/1611

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 249/12, 762/1611?

Answer: LCM of Numerators as per given numbers 249/12, 762/1611 is

LCM of Numerators i.e. for 249,762 is 63246

GCF of denominators i.e. for 12,1611 is 3.

Thus, LCM of Fractions is 21082.Finally, LCM of Fractions for 249/12, 762/1611 is 21082.