Least Common Multiple of 1346/992, 8534/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1346/992, 8534/320 quickly i.e. 5743382/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1346/992, 8534/320 is 5743382/32.

LCM(1346/992, 8534/320) = 5743382/32

LCM of 1346/992, 8534/320

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 1346/992,8534/320

Given numbers are 1346/992,8534/320

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 1346,8534

Least Common Multiple of Numerators i.e. LCM of 1346,8534 is 5743382.

GCF of Denominators means GCF of 992,320 as per the given fractions.

GCF of 992,320 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1346,8534

LCM of Fractions 1346/992,8534/320 is 5743382/32

2 1346, 8534
673, 4267

∴ So the LCM of the given numbers is 2 x 673 x 4267 = 5743382

Least Common Multiple of 1346,8534 with GCF Formula

Least Common Multiple of 1346,8534 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 1346,8534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1346,8534) = 2

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

GCF(1346,8534) x common factors =2 x 1 = 2

LCM(1346,8534) = ( 1346 × 8534 ) / 2

LCM(1346,8534) = 11486764 / 2

LCM(1346,8534) = 5743382


Lets's calculate GCF of 992,320

2 992, 320
2 496, 160
2 248, 80
2 124, 40
2 62, 20
31, 10

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5743382/32

Therefore the LCM of Fractions 1346/992,8534/320 is 5743382/32

Greatest Common Factor of 992,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,320 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 992,320 . The biggest common factor number is the GCF number.
So the greatest common factor 992,320 is 32.


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 1346/992, 8534/320

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 1346/992, 8534/320?

Answer: LCM of Numerators as per given numbers 1346/992, 8534/320 is

LCM of Numerators i.e. for 1346,8534 is 5743382

GCF of denominators i.e. for 992,320 is 32.

Thus, LCM of Fractions is 5743382/32.Finally, LCM of Fractions for 1346/992, 8534/320 is 5743382/32.