Least Common Multiple of 2310/129, 7752/9073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2310/129, 7752/9073 quickly i.e. 2984520/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2310/129, 7752/9073 is 2984520/43.

LCM(2310/129, 7752/9073) = 2984520/43

LCM of 2310/129, 7752/9073

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 2310/129,7752/9073

Given numbers are 2310/129,7752/9073

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 2310,7752

Least Common Multiple of Numerators i.e. LCM of 2310,7752 is 2984520.

GCF of Denominators means GCF of 129,9073 as per the given fractions.

GCF of 129,9073 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2310,7752

LCM of Fractions 2310/129,7752/9073 is 2984520/43

2 2310, 7752
3 1155, 3876
385, 1292

∴ So the LCM of the given numbers is 2 x 3 x 385 x 1292 = 2984520

Least Common Multiple of 2310,7752 with GCF Formula

Least Common Multiple of 2310,7752 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 2310,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2310,7752) = 6

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

GCF(2310,7752) x common factors =6 x 1 = 6

LCM(2310,7752) = ( 2310 × 7752 ) / 6

LCM(2310,7752) = 17907120 / 6

LCM(2310,7752) = 2984520


Lets's calculate GCF of 129,9073

43 129, 9073
3, 211

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2984520/43

Therefore the LCM of Fractions 2310/129,7752/9073 is 2984520/43

Greatest Common Factor of 129,9073 By Matching Biggest Common Factor Method

Greatest Common Factor of 129,9073 By Matching Biggest Common Factor Method

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 9073

List of positive integer factors of 9073 that divides 9073 without a remainder.

1,43,211,9073

Greatest Common Factor

We found the factors 129,9073 . The biggest common factor number is the GCF number.
So the greatest common factor 129,9073 is 43.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2310/129, 7752/9073

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 2310/129, 7752/9073?

Answer: LCM of Numerators as per given numbers 2310/129, 7752/9073 is

LCM of Numerators i.e. for 2310,7752 is 2984520

GCF of denominators i.e. for 129,9073 is 43.

Thus, LCM of Fractions is 2984520/43.Finally, LCM of Fractions for 2310/129, 7752/9073 is 2984520/43.