Least Common Multiple of 3482/43, 9284/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3482/43, 9284/734 quickly i.e. 16163444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3482/43, 9284/734 is 16163444.

LCM(3482/43, 9284/734) = 16163444

LCM of 3482/43, 9284/734

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 3482/43,9284/734

Given numbers are 3482/43,9284/734

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 3482,9284

Least Common Multiple of Numerators i.e. LCM of 3482,9284 is 16163444.

GCF of Denominators means GCF of 43,734 as per the given fractions.

GCF of 43,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3482,9284

LCM of Fractions 3482/43,9284/734 is 16163444

2 3482, 9284
1741, 4642

∴ So the LCM of the given numbers is 2 x 1741 x 4642 = 16163444

Least Common Multiple of 3482,9284 with GCF Formula

Least Common Multiple of 3482,9284 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 3482,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3482,9284) = 2

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

GCF(3482,9284) x common factors =2 x 1 = 2

LCM(3482,9284) = ( 3482 × 9284 ) / 2

LCM(3482,9284) = 32326888 / 2

LCM(3482,9284) = 16163444


Lets's calculate GCF of 43,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16163444/1

Therefore the LCM of Fractions 3482/43,9284/734 is 16163444

Greatest Common Factor of 43,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,734 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 43,734 . The biggest common factor number is the GCF number.
So the greatest common factor 43,734 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 3482/43, 9284/734

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 3482/43, 9284/734?

Answer: LCM of Numerators as per given numbers 3482/43, 9284/734 is

LCM of Numerators i.e. for 3482,9284 is 16163444

GCF of denominators i.e. for 43,734 is 1.

Thus, LCM of Fractions is 16163444.Finally, LCM of Fractions for 3482/43, 9284/734 is 16163444.