Least Common Multiple of 744/25, 915/51, 867/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/25, 915/51, 867/969 quickly i.e. 65579880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/25, 915/51, 867/969 is 65579880.

LCM(744/25, 915/51, 867/969) = 65579880

LCM of 744/25, 915/51, 867/969

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 744/25,915/51,867/969

Given numbers are 744/25,915/51,867/969

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 744,915,867

Least Common Multiple of Numerators i.e. LCM of 744,915,867 is 65579880.

GCF of Denominators means GCF of 25,51,969 as per the given fractions.

GCF of 25,51,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,915,867

LCM of Fractions 744/25,915/51,867/969 is 65579880

3 744, 915, 867
248, 305, 289

∴ So the LCM of the given numbers is 3 x 248 x 305 x 289 = 65579880

Least Common Multiple of 744,915,867 with GCF Formula

Least Common Multiple of 744,915,867 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 744,915,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,915,867) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(744,915,867) x common factors =3 x 3 = 9

LCM(744,915,867) = ( 744 × 915 × 867 ) / 9

LCM(744,915,867) = 590218920 / 9

LCM(744,915,867) = 65579880


Lets's calculate GCF of 25,51,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65579880/1

Therefore the LCM of Fractions 744/25,915/51,867/969 is 65579880

Greatest Common Factor of 25,51,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,51,969 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 25,51,969 . The biggest common factor number is the GCF number.
So the greatest common factor 25,51,969 is 1.


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 744/25, 915/51, 867/969

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 744/25, 915/51, 867/969?

Answer: LCM of Numerators as per given numbers 744/25, 915/51, 867/969 is

LCM of Numerators i.e. for 744,915,867 is 65579880

GCF of denominators i.e. for 25,51,969 is 1.

Thus, LCM of Fractions is 65579880.Finally, LCM of Fractions for 744/25, 915/51, 867/969 is 65579880.