Least Common Multiple of 12/249, 74/366, 679/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/249, 74/366, 679/536 quickly i.e. 301476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/249, 74/366, 679/536 is 301476.

LCM(12/249, 74/366, 679/536) = 301476

LCM of 12/249, 74/366, 679/536

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 12/249,74/366,679/536

Given numbers are 12/249,74/366,679/536

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 12,74,679

Least Common Multiple of Numerators i.e. LCM of 12,74,679 is 301476.

GCF of Denominators means GCF of 249,366,536 as per the given fractions.

GCF of 249,366,536 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,74,679

LCM of Fractions 12/249,74/366,679/536 is 301476

2 12, 74, 679
6, 37, 679

∴ So the LCM of the given numbers is 2 x 6 x 37 x 679 = 301476

Least Common Multiple of 12,74,679 with GCF Formula

Least Common Multiple of 12,74,679 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 12,74,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,74,679) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(12,74,679) x common factors =1 x 2 = 2

LCM(12,74,679) = ( 12 × 74 × 679 ) / 2

LCM(12,74,679) = 602952 / 2

LCM(12,74,679) = 301476


Lets's calculate GCF of 249,366,536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301476/1

Therefore the LCM of Fractions 12/249,74/366,679/536 is 301476

Greatest Common Factor of 249,366,536 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,366,536 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Greatest Common Factor

We found the factors 249,366,536 . The biggest common factor number is the GCF number.
So the greatest common factor 249,366,536 is 1.


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 12/249, 74/366, 679/536

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 12/249, 74/366, 679/536?

Answer: LCM of Numerators as per given numbers 12/249, 74/366, 679/536 is

LCM of Numerators i.e. for 12,74,679 is 301476

GCF of denominators i.e. for 249,366,536 is 1.

Thus, LCM of Fractions is 301476.Finally, LCM of Fractions for 12/249, 74/366, 679/536 is 301476.