Least Common Multiple of 846/20, 4288/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 846/20, 4288/344 quickly i.e. 453456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 846/20, 4288/344 is 453456.

LCM(846/20, 4288/344) = 453456

LCM of 846/20, 4288/344

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 846/20,4288/344

Given numbers are 846/20,4288/344

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 846,4288

Least Common Multiple of Numerators i.e. LCM of 846,4288 is 1813824.

GCF of Denominators means GCF of 20,344 as per the given fractions.

GCF of 20,344 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 846,4288

LCM of Fractions 846/20,4288/344 is 453456

2 846, 4288
423, 2144

∴ So the LCM of the given numbers is 2 x 423 x 2144 = 1813824

Least Common Multiple of 846,4288 with GCF Formula

Least Common Multiple of 846,4288 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 846,4288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,4288) = 2

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

GCF(846,4288) x common factors =2 x 1 = 2

LCM(846,4288) = ( 846 × 4288 ) / 2

LCM(846,4288) = 3627648 / 2

LCM(846,4288) = 1813824


Lets's calculate GCF of 20,344

2 20, 344
2 10, 172
5, 86

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1813824/4

Therefore the LCM of Fractions 846/20,4288/344 is 453456

Greatest Common Factor of 20,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,344 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 20,344 . The biggest common factor number is the GCF number.
So the greatest common factor 20,344 is 4.


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 846/20, 4288/344

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 846/20, 4288/344?

Answer: LCM of Numerators as per given numbers 846/20, 4288/344 is

LCM of Numerators i.e. for 846,4288 is 1813824

GCF of denominators i.e. for 20,344 is 4.

Thus, LCM of Fractions is 453456.Finally, LCM of Fractions for 846/20, 4288/344 is 453456.