Least Common Multiple of 225/914, 899/646, 448/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/914, 899/646, 448/136 quickly i.e. 45309600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/914, 899/646, 448/136 is 45309600.

LCM(225/914, 899/646, 448/136) = 45309600

LCM of 225/914, 899/646, 448/136

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 225/914,899/646,448/136

Given numbers are 225/914,899/646,448/136

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 225,899,448

Least Common Multiple of Numerators i.e. LCM of 225,899,448 is 90619200.

GCF of Denominators means GCF of 914,646,136 as per the given fractions.

GCF of 914,646,136 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,899,448

LCM of Fractions 225/914,899/646,448/136 is 45309600

Given numbers has no common factors except 1. So, there LCM is their product i.e 90619200

Least Common Multiple of 225,899,448 with GCF Formula

Least Common Multiple of 225,899,448 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 225,899,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,899,448) = 1

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

GCF(225,899,448) x common factors =1 x 1 = 1

LCM(225,899,448) = ( 225 × 899 × 448 ) / 1

LCM(225,899,448) = 90619200 / 1

LCM(225,899,448) = 90619200


Lets's calculate GCF of 914,646,136

2 914, 646, 136
457, 323, 68

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90619200/2

Therefore the LCM of Fractions 225/914,899/646,448/136 is 45309600

Greatest Common Factor of 914,646,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,646,136 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 914,646,136 . The biggest common factor number is the GCF number.
So the greatest common factor 914,646,136 is 2.


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 225/914, 899/646, 448/136

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 225/914, 899/646, 448/136?

Answer: LCM of Numerators as per given numbers 225/914, 899/646, 448/136 is

LCM of Numerators i.e. for 225,899,448 is 90619200

GCF of denominators i.e. for 914,646,136 is 2.

Thus, LCM of Fractions is 45309600.Finally, LCM of Fractions for 225/914, 899/646, 448/136 is 45309600.