Least Common Multiple of 14/90, 341/40, 483/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/90, 341/40, 483/625 quickly i.e. 329406/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/90, 341/40, 483/625 is 329406/5.

LCM(14/90, 341/40, 483/625) = 329406/5

LCM of 14/90, 341/40, 483/625

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 14/90,341/40,483/625

Given numbers are 14/90,341/40,483/625

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 14,341,483

Least Common Multiple of Numerators i.e. LCM of 14,341,483 is 329406.

GCF of Denominators means GCF of 90,40,625 as per the given fractions.

GCF of 90,40,625 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,341,483

LCM of Fractions 14/90,341/40,483/625 is 329406/5

7 14, 341, 483
2, 341, 69

∴ So the LCM of the given numbers is 7 x 2 x 341 x 69 = 329406

Least Common Multiple of 14,341,483 with GCF Formula

Least Common Multiple of 14,341,483 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 14,341,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,341,483) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,341,483) x common factors =1 x 7 = 7

LCM(14,341,483) = ( 14 × 341 × 483 ) / 7

LCM(14,341,483) = 2305842 / 7

LCM(14,341,483) = 329406


Lets's calculate GCF of 90,40,625

5 90, 40, 625
18, 8, 125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329406/5

Therefore the LCM of Fractions 14/90,341/40,483/625 is 329406/5

Greatest Common Factor of 90,40,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,40,625 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 90,40,625 . The biggest common factor number is the GCF number.
So the greatest common factor 90,40,625 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 14/90, 341/40, 483/625

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 14/90, 341/40, 483/625?

Answer: LCM of Numerators as per given numbers 14/90, 341/40, 483/625 is

LCM of Numerators i.e. for 14,341,483 is 329406

GCF of denominators i.e. for 90,40,625 is 5.

Thus, LCM of Fractions is 329406/5.Finally, LCM of Fractions for 14/90, 341/40, 483/625 is 329406/5.