Least Common Multiple of 908/225, 4175/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 908/225, 4175/495 quickly i.e. 3790900/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 908/225, 4175/495 is 3790900/45.

LCM(908/225, 4175/495) = 3790900/45

LCM of 908/225, 4175/495

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 908/225,4175/495

Given numbers are 908/225,4175/495

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 908,4175

Least Common Multiple of Numerators i.e. LCM of 908,4175 is 3790900.

GCF of Denominators means GCF of 225,495 as per the given fractions.

GCF of 225,495 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 908,4175

LCM of Fractions 908/225,4175/495 is 3790900/45

Given numbers has no common factors except 1. So, there LCM is their product i.e 3790900

Least Common Multiple of 908,4175 with GCF Formula

Least Common Multiple of 908,4175 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 908,4175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(908,4175) = 1

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

GCF(908,4175) x common factors =1 x 1 = 1

LCM(908,4175) = ( 908 × 4175 ) / 1

LCM(908,4175) = 3790900 / 1

LCM(908,4175) = 3790900


Lets's calculate GCF of 225,495

3 225, 495
3 75, 165
5 25, 55
5, 11

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3790900/45

Therefore the LCM of Fractions 908/225,4175/495 is 3790900/45

Greatest Common Factor of 225,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,495 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 225,495 . The biggest common factor number is the GCF number.
So the greatest common factor 225,495 is 45.


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 908/225, 4175/495

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 908/225, 4175/495?

Answer: LCM of Numerators as per given numbers 908/225, 4175/495 is

LCM of Numerators i.e. for 908,4175 is 3790900

GCF of denominators i.e. for 225,495 is 45.

Thus, LCM of Fractions is 3790900/45.Finally, LCM of Fractions for 908/225, 4175/495 is 3790900/45.