Least Common Multiple of 438/493, 211/900, 325/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/493, 211/900, 325/908 quickly i.e. 30035850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/493, 211/900, 325/908 is 30035850.

LCM(438/493, 211/900, 325/908) = 30035850

LCM of 438/493, 211/900, 325/908

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 438/493,211/900,325/908

Given numbers are 438/493,211/900,325/908

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 438,211,325

Least Common Multiple of Numerators i.e. LCM of 438,211,325 is 30035850.

GCF of Denominators means GCF of 493,900,908 as per the given fractions.

GCF of 493,900,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,211,325

LCM of Fractions 438/493,211/900,325/908 is 30035850

Given numbers has no common factors except 1. So, there LCM is their product i.e 30035850

Least Common Multiple of 438,211,325 with GCF Formula

Least Common Multiple of 438,211,325 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 438,211,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,211,325) = 1

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

GCF(438,211,325) x common factors =1 x 1 = 1

LCM(438,211,325) = ( 438 × 211 × 325 ) / 1

LCM(438,211,325) = 30035850 / 1

LCM(438,211,325) = 30035850


Lets's calculate GCF of 493,900,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30035850/1

Therefore the LCM of Fractions 438/493,211/900,325/908 is 30035850

Greatest Common Factor of 493,900,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,900,908 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

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 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 493,900,908 . The biggest common factor number is the GCF number.
So the greatest common factor 493,900,908 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 438/493, 211/900, 325/908

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 438/493, 211/900, 325/908?

Answer: LCM of Numerators as per given numbers 438/493, 211/900, 325/908 is

LCM of Numerators i.e. for 438,211,325 is 30035850

GCF of denominators i.e. for 493,900,908 is 1.

Thus, LCM of Fractions is 30035850.Finally, LCM of Fractions for 438/493, 211/900, 325/908 is 30035850.