Least Common Multiple of 7647/12, 3624/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7647/12, 3624/149 quickly i.e. 9237576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7647/12, 3624/149 is 9237576.

LCM(7647/12, 3624/149) = 9237576

LCM of 7647/12, 3624/149

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 7647/12,3624/149

Given numbers are 7647/12,3624/149

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 7647,3624

Least Common Multiple of Numerators i.e. LCM of 7647,3624 is 9237576.

GCF of Denominators means GCF of 12,149 as per the given fractions.

GCF of 12,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7647,3624

LCM of Fractions 7647/12,3624/149 is 9237576

3 7647, 3624
2549, 1208

∴ So the LCM of the given numbers is 3 x 2549 x 1208 = 9237576

Least Common Multiple of 7647,3624 with GCF Formula

Least Common Multiple of 7647,3624 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 7647,3624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7647,3624) = 3

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

GCF(7647,3624) x common factors =3 x 1 = 3

LCM(7647,3624) = ( 7647 × 3624 ) / 3

LCM(7647,3624) = 27712728 / 3

LCM(7647,3624) = 9237576


Lets's calculate GCF of 12,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9237576/1

Therefore the LCM of Fractions 7647/12,3624/149 is 9237576

Greatest Common Factor of 12,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,149 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 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 12,149 . The biggest common factor number is the GCF number.
So the greatest common factor 12,149 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 7647/12, 3624/149

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 7647/12, 3624/149?

Answer: LCM of Numerators as per given numbers 7647/12, 3624/149 is

LCM of Numerators i.e. for 7647,3624 is 9237576

GCF of denominators i.e. for 12,149 is 1.

Thus, LCM of Fractions is 9237576.Finally, LCM of Fractions for 7647/12, 3624/149 is 9237576.