Least Common Multiple of 469/90, 919/63, 432/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 469/90, 919/63, 432/600 quickly i.e. 62065584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 469/90, 919/63, 432/600 is 62065584.

LCM(469/90, 919/63, 432/600) = 62065584

LCM of 469/90, 919/63, 432/600

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 469/90,919/63,432/600

Given numbers are 469/90,919/63,432/600

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 469,919,432

Least Common Multiple of Numerators i.e. LCM of 469,919,432 is 186196752.

GCF of Denominators means GCF of 90,63,600 as per the given fractions.

GCF of 90,63,600 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 469,919,432

LCM of Fractions 469/90,919/63,432/600 is 62065584

Given numbers has no common factors except 1. So, there LCM is their product i.e 186196752

Least Common Multiple of 469,919,432 with GCF Formula

Least Common Multiple of 469,919,432 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 469,919,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,919,432) = 1

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

GCF(469,919,432) x common factors =1 x 1 = 1

LCM(469,919,432) = ( 469 × 919 × 432 ) / 1

LCM(469,919,432) = 186196752 / 1

LCM(469,919,432) = 186196752


Lets's calculate GCF of 90,63,600

3 90, 63, 600
30, 21, 200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186196752/3

Therefore the LCM of Fractions 469/90,919/63,432/600 is 62065584

Greatest Common Factor of 90,63,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,63,600 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 90,63,600 . The biggest common factor number is the GCF number.
So the greatest common factor 90,63,600 is 3.


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 469/90, 919/63, 432/600

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 469/90, 919/63, 432/600?

Answer: LCM of Numerators as per given numbers 469/90, 919/63, 432/600 is

LCM of Numerators i.e. for 469,919,432 is 186196752

GCF of denominators i.e. for 90,63,600 is 3.

Thus, LCM of Fractions is 62065584.Finally, LCM of Fractions for 469/90, 919/63, 432/600 is 62065584.