Least Common Multiple of 300/228, 250/650, 894/419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/228, 250/650, 894/419 quickly i.e. 223500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/228, 250/650, 894/419 is 223500.

LCM(300/228, 250/650, 894/419) = 223500

LCM of 300/228, 250/650, 894/419

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 300/228,250/650,894/419

Given numbers are 300/228,250/650,894/419

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 300,250,894

Least Common Multiple of Numerators i.e. LCM of 300,250,894 is 223500.

GCF of Denominators means GCF of 228,650,419 as per the given fractions.

GCF of 228,650,419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,250,894

LCM of Fractions 300/228,250/650,894/419 is 223500

2 300, 250, 894
3 150, 125, 447
5 50, 125, 149
5 10, 25, 149
2, 5, 149

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 2 x 5 x 149 = 223500

Least Common Multiple of 300,250,894 with GCF Formula

Least Common Multiple of 300,250,894 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 300,250,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,250,894) = 2

common factors(in case of two or more numbers have common factors) = 150

GCF(300,250,894) x common factors =2 x 150 = 300

LCM(300,250,894) = ( 300 × 250 × 894 ) / 300

LCM(300,250,894) = 67050000 / 300

LCM(300,250,894) = 223500


Lets's calculate GCF of 228,650,419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223500/1

Therefore the LCM of Fractions 300/228,250/650,894/419 is 223500

Greatest Common Factor of 228,650,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,650,419 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 228,650,419 . The biggest common factor number is the GCF number.
So the greatest common factor 228,650,419 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 300/228, 250/650, 894/419

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 300/228, 250/650, 894/419?

Answer: LCM of Numerators as per given numbers 300/228, 250/650, 894/419 is

LCM of Numerators i.e. for 300,250,894 is 223500

GCF of denominators i.e. for 228,650,419 is 1.

Thus, LCM of Fractions is 223500.Finally, LCM of Fractions for 300/228, 250/650, 894/419 is 223500.