Least Common Multiple of 23/510, 72/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/510, 72/969 quickly i.e. 1656/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/510, 72/969 is 1656/51.

LCM(23/510, 72/969) = 1656/51

LCM of 23/510, 72/969

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 23/510,72/969

Given numbers are 23/510,72/969

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 23,72

Least Common Multiple of Numerators i.e. LCM of 23,72 is 1656.

GCF of Denominators means GCF of 510,969 as per the given fractions.

GCF of 510,969 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,72

LCM of Fractions 23/510,72/969 is 1656/51

Given numbers has no common factors except 1. So, there LCM is their product i.e 1656

Least Common Multiple of 23,72 with GCF Formula

Least Common Multiple of 23,72 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 23,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,72) = 1

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

GCF(23,72) x common factors =1 x 1 = 1

LCM(23,72) = ( 23 × 72 ) / 1

LCM(23,72) = 1656 / 1

LCM(23,72) = 1656


Lets's calculate GCF of 510,969

3 510, 969
17 170, 323
10, 19

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/51

Therefore the LCM of Fractions 23/510,72/969 is 1656/51

Greatest Common Factor of 510,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,969 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 510,969 . The biggest common factor number is the GCF number.
So the greatest common factor 510,969 is 51.


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 23/510, 72/969

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 23/510, 72/969?

Answer: LCM of Numerators as per given numbers 23/510, 72/969 is

LCM of Numerators i.e. for 23,72 is 1656

GCF of denominators i.e. for 510,969 is 51.

Thus, LCM of Fractions is 1656/51.Finally, LCM of Fractions for 23/510, 72/969 is 1656/51.