Least Common Multiple of 17/340, 5492/6144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/340, 5492/6144 quickly i.e. 23341 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/340, 5492/6144 is 23341.

LCM(17/340, 5492/6144) = 23341

LCM of 17/340, 5492/6144

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 17/340,5492/6144

Given numbers are 17/340,5492/6144

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 17,5492

Least Common Multiple of Numerators i.e. LCM of 17,5492 is 93364.

GCF of Denominators means GCF of 340,6144 as per the given fractions.

GCF of 340,6144 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,5492

LCM of Fractions 17/340,5492/6144 is 23341

Given numbers has no common factors except 1. So, there LCM is their product i.e 93364

Least Common Multiple of 17,5492 with GCF Formula

Least Common Multiple of 17,5492 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 17,5492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,5492) = 1

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

GCF(17,5492) x common factors =1 x 1 = 1

LCM(17,5492) = ( 17 × 5492 ) / 1

LCM(17,5492) = 93364 / 1

LCM(17,5492) = 93364


Lets's calculate GCF of 340,6144

2 340, 6144
2 170, 3072
85, 1536

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93364/4

Therefore the LCM of Fractions 17/340,5492/6144 is 23341

Greatest Common Factor of 340,6144 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,6144 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 6144

List of positive integer factors of 6144 that divides 6144 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,512,768,1024,1536,2048,3072,6144

Greatest Common Factor

We found the factors 340,6144 . The biggest common factor number is the GCF number.
So the greatest common factor 340,6144 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 17/340, 5492/6144

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 17/340, 5492/6144?

Answer: LCM of Numerators as per given numbers 17/340, 5492/6144 is

LCM of Numerators i.e. for 17,5492 is 93364

GCF of denominators i.e. for 340,6144 is 4.

Thus, LCM of Fractions is 23341.Finally, LCM of Fractions for 17/340, 5492/6144 is 23341.