Least Common Multiple of 46/900, 95/828, 525/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/900, 95/828, 525/459 quickly i.e. 458850/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/900, 95/828, 525/459 is 458850/9.

LCM(46/900, 95/828, 525/459) = 458850/9

LCM of 46/900, 95/828, 525/459

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 46/900,95/828,525/459

Given numbers are 46/900,95/828,525/459

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 46,95,525

Least Common Multiple of Numerators i.e. LCM of 46,95,525 is 458850.

GCF of Denominators means GCF of 900,828,459 as per the given fractions.

GCF of 900,828,459 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,95,525

LCM of Fractions 46/900,95/828,525/459 is 458850/9

5 46, 95, 525
46, 19, 105

∴ So the LCM of the given numbers is 5 x 46 x 19 x 105 = 458850

Least Common Multiple of 46,95,525 with GCF Formula

Least Common Multiple of 46,95,525 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 46,95,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,95,525) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(46,95,525) x common factors =1 x 5 = 5

LCM(46,95,525) = ( 46 × 95 × 525 ) / 5

LCM(46,95,525) = 2294250 / 5

LCM(46,95,525) = 458850


Lets's calculate GCF of 900,828,459

3 900, 828, 459
3 300, 276, 153
100, 92, 51

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458850/9

Therefore the LCM of Fractions 46/900,95/828,525/459 is 458850/9

Greatest Common Factor of 900,828,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,828,459 By Matching Biggest Common Factor Method

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

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 459

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

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

Greatest Common Factor

We found the factors 900,828,459 . The biggest common factor number is the GCF number.
So the greatest common factor 900,828,459 is 9.


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 46/900, 95/828, 525/459

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 46/900, 95/828, 525/459?

Answer: LCM of Numerators as per given numbers 46/900, 95/828, 525/459 is

LCM of Numerators i.e. for 46,95,525 is 458850

GCF of denominators i.e. for 900,828,459 is 9.

Thus, LCM of Fractions is 458850/9.Finally, LCM of Fractions for 46/900, 95/828, 525/459 is 458850/9.