Least Common Multiple of 23/99, 765/46, 733/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 23/99, 765/46, 733/129 quickly i.e. 12897135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/99, 765/46, 733/129 is 12897135.

LCM(23/99, 765/46, 733/129) = 12897135

LCM of 23/99, 765/46, 733/129

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 23/99,765/46,733/129

Given numbers are 23/99,765/46,733/129

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 23,765,733

Least Common Multiple of Numerators i.e. LCM of 23,765,733 is 12897135.

GCF of Denominators means GCF of 99,46,129 as per the given fractions.

GCF of 99,46,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,765,733

LCM of Fractions 23/99,765/46,733/129 is 12897135

Given numbers has no common factors except 1. So, there LCM is their product i.e 12897135

Least Common Multiple of 23,765,733 with GCF Formula

Least Common Multiple of 23,765,733 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 23,765,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,765,733) = 1

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

GCF(23,765,733) x common factors =1 x 1 = 1

LCM(23,765,733) = ( 23 × 765 × 733 ) / 1

LCM(23,765,733) = 12897135 / 1

LCM(23,765,733) = 12897135


Lets's calculate GCF of 99,46,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12897135/1

Therefore the LCM of Fractions 23/99,765/46,733/129 is 12897135

Greatest Common Factor of 99,46,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,46,129 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 129

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

1,3,43,129

Greatest Common Factor

We found the factors 99,46,129 . The biggest common factor number is the GCF number.
So the greatest common factor 99,46,129 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 23/99, 765/46, 733/129

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 23/99, 765/46, 733/129?

Answer: LCM of Numerators as per given numbers 23/99, 765/46, 733/129 is

LCM of Numerators i.e. for 23,765,733 is 12897135

GCF of denominators i.e. for 99,46,129 is 1.

Thus, LCM of Fractions is 12897135.Finally, LCM of Fractions for 23/99, 765/46, 733/129 is 12897135.