Least Common Multiple of 24/459, 766/880, 104/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/459, 766/880, 104/900 quickly i.e. 119496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/459, 766/880, 104/900 is 119496.

LCM(24/459, 766/880, 104/900) = 119496

LCM of 24/459, 766/880, 104/900

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 24/459,766/880,104/900

Given numbers are 24/459,766/880,104/900

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 24,766,104

Least Common Multiple of Numerators i.e. LCM of 24,766,104 is 119496.

GCF of Denominators means GCF of 459,880,900 as per the given fractions.

GCF of 459,880,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,766,104

LCM of Fractions 24/459,766/880,104/900 is 119496

2 24, 766, 104
2 12, 383, 52
2 6, 383, 26
3, 383, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 383 x 13 = 119496

Least Common Multiple of 24,766,104 with GCF Formula

Least Common Multiple of 24,766,104 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 24,766,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,766,104) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(24,766,104) x common factors =2 x 8 = 16

LCM(24,766,104) = ( 24 × 766 × 104 ) / 16

LCM(24,766,104) = 1911936 / 16

LCM(24,766,104) = 119496


Lets's calculate GCF of 459,880,900

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119496/1

Therefore the LCM of Fractions 24/459,766/880,104/900 is 119496

Greatest Common Factor of 459,880,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,880,900 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 459,880,900 . The biggest common factor number is the GCF number.
So the greatest common factor 459,880,900 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 24/459, 766/880, 104/900

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 24/459, 766/880, 104/900?

Answer: LCM of Numerators as per given numbers 24/459, 766/880, 104/900 is

LCM of Numerators i.e. for 24,766,104 is 119496

GCF of denominators i.e. for 459,880,900 is 1.

Thus, LCM of Fractions is 119496.Finally, LCM of Fractions for 24/459, 766/880, 104/900 is 119496.