Least Common Multiple of 280/308, 618/882, 225/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/308, 618/882, 225/404 quickly i.e. 648900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/308, 618/882, 225/404 is 648900.

LCM(280/308, 618/882, 225/404) = 648900

LCM of 280/308, 618/882, 225/404

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 280/308,618/882,225/404

Given numbers are 280/308,618/882,225/404

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 280,618,225

Least Common Multiple of Numerators i.e. LCM of 280,618,225 is 1297800.

GCF of Denominators means GCF of 308,882,404 as per the given fractions.

GCF of 308,882,404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,618,225

LCM of Fractions 280/308,618/882,225/404 is 648900

2 280, 618, 225
3 140, 309, 225
5 140, 103, 75
28, 103, 15

∴ So the LCM of the given numbers is 2 x 3 x 5 x 28 x 103 x 15 = 1297800

Least Common Multiple of 280,618,225 with GCF Formula

Least Common Multiple of 280,618,225 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 280,618,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,618,225) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(280,618,225) x common factors =1 x 30 = 30

LCM(280,618,225) = ( 280 × 618 × 225 ) / 30

LCM(280,618,225) = 38934000 / 30

LCM(280,618,225) = 1297800


Lets's calculate GCF of 308,882,404

2 308, 882, 404
154, 441, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1297800/2

Therefore the LCM of Fractions 280/308,618/882,225/404 is 648900

Greatest Common Factor of 308,882,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,882,404 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 308,882,404 . The biggest common factor number is the GCF number.
So the greatest common factor 308,882,404 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 280/308, 618/882, 225/404

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 280/308, 618/882, 225/404?

Answer: LCM of Numerators as per given numbers 280/308, 618/882, 225/404 is

LCM of Numerators i.e. for 280,618,225 is 1297800

GCF of denominators i.e. for 308,882,404 is 2.

Thus, LCM of Fractions is 648900.Finally, LCM of Fractions for 280/308, 618/882, 225/404 is 648900.