Least Common Multiple of 7623/420, 1539/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7623/420, 1539/630 quickly i.e. 1303533/210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7623/420, 1539/630 is 1303533/210.

LCM(7623/420, 1539/630) = 1303533/210

LCM of 7623/420, 1539/630

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 7623/420,1539/630

Given numbers are 7623/420,1539/630

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 7623,1539

Least Common Multiple of Numerators i.e. LCM of 7623,1539 is 1303533.

GCF of Denominators means GCF of 420,630 as per the given fractions.

GCF of 420,630 is 210 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7623,1539

LCM of Fractions 7623/420,1539/630 is 1303533/210

3 7623, 1539
3 2541, 513
847, 171

∴ So the LCM of the given numbers is 3 x 3 x 847 x 171 = 1303533

Least Common Multiple of 7623,1539 with GCF Formula

Least Common Multiple of 7623,1539 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 7623,1539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7623,1539) = 9

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

GCF(7623,1539) x common factors =9 x 1 = 9

LCM(7623,1539) = ( 7623 × 1539 ) / 9

LCM(7623,1539) = 11731797 / 9

LCM(7623,1539) = 1303533


Lets's calculate GCF of 420,630

2 420, 630
3 210, 315
5 70, 105
7 14, 21
2, 3

∴ So the GCF of the given numbers is 2 x 3 x 5 x 7 = 210

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1303533/210

Therefore the LCM of Fractions 7623/420,1539/630 is 1303533/210

Greatest Common Factor of 420,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,630 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

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 420,630 . The biggest common factor number is the GCF number.
So the greatest common factor 420,630 is 210.


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 7623/420, 1539/630

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 7623/420, 1539/630?

Answer: LCM of Numerators as per given numbers 7623/420, 1539/630 is

LCM of Numerators i.e. for 7623,1539 is 1303533

GCF of denominators i.e. for 420,630 is 210.

Thus, LCM of Fractions is 1303533/210.Finally, LCM of Fractions for 7623/420, 1539/630 is 1303533/210.