Least Common Multiple of 6564/346, 8417/5678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6564/346, 8417/5678 quickly i.e. 27624594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6564/346, 8417/5678 is 27624594.

LCM(6564/346, 8417/5678) = 27624594

LCM of 6564/346, 8417/5678

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 6564/346,8417/5678

Given numbers are 6564/346,8417/5678

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 6564,8417

Least Common Multiple of Numerators i.e. LCM of 6564,8417 is 55249188.

GCF of Denominators means GCF of 346,5678 as per the given fractions.

GCF of 346,5678 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6564,8417

LCM of Fractions 6564/346,8417/5678 is 27624594

Given numbers has no common factors except 1. So, there LCM is their product i.e 55249188

Least Common Multiple of 6564,8417 with GCF Formula

Least Common Multiple of 6564,8417 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 6564,8417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6564,8417) = 1

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

GCF(6564,8417) x common factors =1 x 1 = 1

LCM(6564,8417) = ( 6564 × 8417 ) / 1

LCM(6564,8417) = 55249188 / 1

LCM(6564,8417) = 55249188


Lets's calculate GCF of 346,5678

2 346, 5678
173, 2839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55249188/2

Therefore the LCM of Fractions 6564/346,8417/5678 is 27624594

Greatest Common Factor of 346,5678 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,5678 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 5678

List of positive integer factors of 5678 that divides 5678 without a remainder.

1,2,17,34,167,334,2839,5678

Greatest Common Factor

We found the factors 346,5678 . The biggest common factor number is the GCF number.
So the greatest common factor 346,5678 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 6564/346, 8417/5678

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 6564/346, 8417/5678?

Answer: LCM of Numerators as per given numbers 6564/346, 8417/5678 is

LCM of Numerators i.e. for 6564,8417 is 55249188

GCF of denominators i.e. for 346,5678 is 2.

Thus, LCM of Fractions is 27624594.Finally, LCM of Fractions for 6564/346, 8417/5678 is 27624594.