Least Common Multiple of 419/15, 321/90, 575/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/15, 321/90, 575/100 quickly i.e. 15467385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/15, 321/90, 575/100 is 15467385.

LCM(419/15, 321/90, 575/100) = 15467385

LCM of 419/15, 321/90, 575/100

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 419/15,321/90,575/100

Given numbers are 419/15,321/90,575/100

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 419,321,575

Least Common Multiple of Numerators i.e. LCM of 419,321,575 is 77336925.

GCF of Denominators means GCF of 15,90,100 as per the given fractions.

GCF of 15,90,100 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,321,575

LCM of Fractions 419/15,321/90,575/100 is 15467385

Given numbers has no common factors except 1. So, there LCM is their product i.e 77336925

Least Common Multiple of 419,321,575 with GCF Formula

Least Common Multiple of 419,321,575 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 419,321,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,321,575) = 1

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

GCF(419,321,575) x common factors =1 x 1 = 1

LCM(419,321,575) = ( 419 × 321 × 575 ) / 1

LCM(419,321,575) = 77336925 / 1

LCM(419,321,575) = 77336925


Lets's calculate GCF of 15,90,100

5 15, 90, 100
3, 18, 20

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77336925/5

Therefore the LCM of Fractions 419/15,321/90,575/100 is 15467385

Greatest Common Factor of 15,90,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,90,100 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

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 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 15,90,100 . The biggest common factor number is the GCF number.
So the greatest common factor 15,90,100 is 5.


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 419/15, 321/90, 575/100

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 419/15, 321/90, 575/100?

Answer: LCM of Numerators as per given numbers 419/15, 321/90, 575/100 is

LCM of Numerators i.e. for 419,321,575 is 77336925

GCF of denominators i.e. for 15,90,100 is 5.

Thus, LCM of Fractions is 15467385.Finally, LCM of Fractions for 419/15, 321/90, 575/100 is 15467385.