Least Common Multiple of 28/302, 414/142, 479/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/302, 414/142, 479/844 quickly i.e. 1388142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/302, 414/142, 479/844 is 1388142.

LCM(28/302, 414/142, 479/844) = 1388142

LCM of 28/302, 414/142, 479/844

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 28/302,414/142,479/844

Given numbers are 28/302,414/142,479/844

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 28,414,479

Least Common Multiple of Numerators i.e. LCM of 28,414,479 is 2776284.

GCF of Denominators means GCF of 302,142,844 as per the given fractions.

GCF of 302,142,844 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,414,479

LCM of Fractions 28/302,414/142,479/844 is 1388142

2 28, 414, 479
14, 207, 479

∴ So the LCM of the given numbers is 2 x 14 x 207 x 479 = 2776284

Least Common Multiple of 28,414,479 with GCF Formula

Least Common Multiple of 28,414,479 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 28,414,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,414,479) = 1

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

GCF(28,414,479) x common factors =1 x 2 = 2

LCM(28,414,479) = ( 28 × 414 × 479 ) / 2

LCM(28,414,479) = 5552568 / 2

LCM(28,414,479) = 2776284


Lets's calculate GCF of 302,142,844

2 302, 142, 844
151, 71, 422

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2776284/2

Therefore the LCM of Fractions 28/302,414/142,479/844 is 1388142

Greatest Common Factor of 302,142,844 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,142,844 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Greatest Common Factor

We found the factors 302,142,844 . The biggest common factor number is the GCF number.
So the greatest common factor 302,142,844 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 28/302, 414/142, 479/844

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 28/302, 414/142, 479/844?

Answer: LCM of Numerators as per given numbers 28/302, 414/142, 479/844 is

LCM of Numerators i.e. for 28,414,479 is 2776284

GCF of denominators i.e. for 302,142,844 is 2.

Thus, LCM of Fractions is 1388142.Finally, LCM of Fractions for 28/302, 414/142, 479/844 is 1388142.