Least Common Multiple of 6822/512, 1704/446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6822/512, 1704/446 quickly i.e. 968724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6822/512, 1704/446 is 968724.

LCM(6822/512, 1704/446) = 968724

LCM of 6822/512, 1704/446

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 6822/512,1704/446

Given numbers are 6822/512,1704/446

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 6822,1704

Least Common Multiple of Numerators i.e. LCM of 6822,1704 is 1937448.

GCF of Denominators means GCF of 512,446 as per the given fractions.

GCF of 512,446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6822,1704

LCM of Fractions 6822/512,1704/446 is 968724

2 6822, 1704
3 3411, 852
1137, 284

∴ So the LCM of the given numbers is 2 x 3 x 1137 x 284 = 1937448

Least Common Multiple of 6822,1704 with GCF Formula

Least Common Multiple of 6822,1704 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 6822,1704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6822,1704) = 6

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

GCF(6822,1704) x common factors =6 x 1 = 6

LCM(6822,1704) = ( 6822 × 1704 ) / 6

LCM(6822,1704) = 11624688 / 6

LCM(6822,1704) = 1937448


Lets's calculate GCF of 512,446

2 512, 446
256, 223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1937448/2

Therefore the LCM of Fractions 6822/512,1704/446 is 968724

Greatest Common Factor of 512,446 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,446 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Greatest Common Factor

We found the factors 512,446 . The biggest common factor number is the GCF number.
So the greatest common factor 512,446 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 6822/512, 1704/446

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 6822/512, 1704/446?

Answer: LCM of Numerators as per given numbers 6822/512, 1704/446 is

LCM of Numerators i.e. for 6822,1704 is 1937448

GCF of denominators i.e. for 512,446 is 2.

Thus, LCM of Fractions is 968724.Finally, LCM of Fractions for 6822/512, 1704/446 is 968724.