Least Common Multiple of 7926/72, 2328/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7926/72, 2328/630 quickly i.e. 3075288/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7926/72, 2328/630 is 3075288/18.

LCM(7926/72, 2328/630) = 3075288/18

LCM of 7926/72, 2328/630

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 7926/72,2328/630

Given numbers are 7926/72,2328/630

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 7926,2328

Least Common Multiple of Numerators i.e. LCM of 7926,2328 is 3075288.

GCF of Denominators means GCF of 72,630 as per the given fractions.

GCF of 72,630 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7926,2328

LCM of Fractions 7926/72,2328/630 is 3075288/18

2 7926, 2328
3 3963, 1164
1321, 388

∴ So the LCM of the given numbers is 2 x 3 x 1321 x 388 = 3075288

Least Common Multiple of 7926,2328 with GCF Formula

Least Common Multiple of 7926,2328 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 7926,2328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7926,2328) = 6

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

GCF(7926,2328) x common factors =6 x 1 = 6

LCM(7926,2328) = ( 7926 × 2328 ) / 6

LCM(7926,2328) = 18451728 / 6

LCM(7926,2328) = 3075288


Lets's calculate GCF of 72,630

2 72, 630
3 36, 315
3 12, 105
4, 35

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3075288/18

Therefore the LCM of Fractions 7926/72,2328/630 is 3075288/18

Greatest Common Factor of 72,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,630 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 72,630 . The biggest common factor number is the GCF number.
So the greatest common factor 72,630 is 18.


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 7926/72, 2328/630

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 7926/72, 2328/630?

Answer: LCM of Numerators as per given numbers 7926/72, 2328/630 is

LCM of Numerators i.e. for 7926,2328 is 3075288

GCF of denominators i.e. for 72,630 is 18.

Thus, LCM of Fractions is 3075288/18.Finally, LCM of Fractions for 7926/72, 2328/630 is 3075288/18.