Least Common Multiple of 7908/552, 7809/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7908/552, 7809/230 quickly i.e. 20584524/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7908/552, 7809/230 is 20584524/46.

LCM(7908/552, 7809/230) = 20584524/46

LCM of 7908/552, 7809/230

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 7908/552,7809/230

Given numbers are 7908/552,7809/230

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 7908,7809

Least Common Multiple of Numerators i.e. LCM of 7908,7809 is 20584524.

GCF of Denominators means GCF of 552,230 as per the given fractions.

GCF of 552,230 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7908,7809

LCM of Fractions 7908/552,7809/230 is 20584524/46

3 7908, 7809
2636, 2603

∴ So the LCM of the given numbers is 3 x 2636 x 2603 = 20584524

Least Common Multiple of 7908,7809 with GCF Formula

Least Common Multiple of 7908,7809 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 7908,7809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7908,7809) = 3

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

GCF(7908,7809) x common factors =3 x 1 = 3

LCM(7908,7809) = ( 7908 × 7809 ) / 3

LCM(7908,7809) = 61753572 / 3

LCM(7908,7809) = 20584524


Lets's calculate GCF of 552,230

2 552, 230
23 276, 115
12, 5

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20584524/46

Therefore the LCM of Fractions 7908/552,7809/230 is 20584524/46

Greatest Common Factor of 552,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,230 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 552,230 . The biggest common factor number is the GCF number.
So the greatest common factor 552,230 is 46.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7908/552, 7809/230

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 7908/552, 7809/230?

Answer: LCM of Numerators as per given numbers 7908/552, 7809/230 is

LCM of Numerators i.e. for 7908,7809 is 20584524

GCF of denominators i.e. for 552,230 is 46.

Thus, LCM of Fractions is 20584524/46.Finally, LCM of Fractions for 7908/552, 7809/230 is 20584524/46.