Least Common Multiple of 18/225, 628/108, 694/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/225, 628/108, 694/412 quickly i.e. 1961244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/225, 628/108, 694/412 is 1961244.

LCM(18/225, 628/108, 694/412) = 1961244

LCM of 18/225, 628/108, 694/412

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 18/225,628/108,694/412

Given numbers are 18/225,628/108,694/412

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 18,628,694

Least Common Multiple of Numerators i.e. LCM of 18,628,694 is 1961244.

GCF of Denominators means GCF of 225,108,412 as per the given fractions.

GCF of 225,108,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,628,694

LCM of Fractions 18/225,628/108,694/412 is 1961244

2 18, 628, 694
9, 314, 347

∴ So the LCM of the given numbers is 2 x 9 x 314 x 347 = 1961244

Least Common Multiple of 18,628,694 with GCF Formula

Least Common Multiple of 18,628,694 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 18,628,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,628,694) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(18,628,694) x common factors =2 x 2 = 4

LCM(18,628,694) = ( 18 × 628 × 694 ) / 4

LCM(18,628,694) = 7844976 / 4

LCM(18,628,694) = 1961244


Lets's calculate GCF of 225,108,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1961244/1

Therefore the LCM of Fractions 18/225,628/108,694/412 is 1961244

Greatest Common Factor of 225,108,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,108,412 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 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 225,108,412 . The biggest common factor number is the GCF number.
So the greatest common factor 225,108,412 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/225, 628/108, 694/412

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 18/225, 628/108, 694/412?

Answer: LCM of Numerators as per given numbers 18/225, 628/108, 694/412 is

LCM of Numerators i.e. for 18,628,694 is 1961244

GCF of denominators i.e. for 225,108,412 is 1.

Thus, LCM of Fractions is 1961244.Finally, LCM of Fractions for 18/225, 628/108, 694/412 is 1961244.