Least Common Multiple of 7686/623, 4002/5558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7686/623, 4002/5558 quickly i.e. 732366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7686/623, 4002/5558 is 732366.

LCM(7686/623, 4002/5558) = 732366

LCM of 7686/623, 4002/5558

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 7686/623,4002/5558

Given numbers are 7686/623,4002/5558

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 7686,4002

Least Common Multiple of Numerators i.e. LCM of 7686,4002 is 5126562.

GCF of Denominators means GCF of 623,5558 as per the given fractions.

GCF of 623,5558 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7686,4002

LCM of Fractions 7686/623,4002/5558 is 732366

2 7686, 4002
3 3843, 2001
1281, 667

∴ So the LCM of the given numbers is 2 x 3 x 1281 x 667 = 5126562

Least Common Multiple of 7686,4002 with GCF Formula

Least Common Multiple of 7686,4002 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 7686,4002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7686,4002) = 6

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

GCF(7686,4002) x common factors =6 x 1 = 6

LCM(7686,4002) = ( 7686 × 4002 ) / 6

LCM(7686,4002) = 30759372 / 6

LCM(7686,4002) = 5126562


Lets's calculate GCF of 623,5558

7 623, 5558
89, 794

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5126562/7

Therefore the LCM of Fractions 7686/623,4002/5558 is 732366

Greatest Common Factor of 623,5558 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,5558 By Matching Biggest Common Factor Method

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 5558

List of positive integer factors of 5558 that divides 5558 without a remainder.

1,2,7,14,397,794,2779,5558

Greatest Common Factor

We found the factors 623,5558 . The biggest common factor number is the GCF number.
So the greatest common factor 623,5558 is 7.


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 7686/623, 4002/5558

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 7686/623, 4002/5558?

Answer: LCM of Numerators as per given numbers 7686/623, 4002/5558 is

LCM of Numerators i.e. for 7686,4002 is 5126562

GCF of denominators i.e. for 623,5558 is 7.

Thus, LCM of Fractions is 732366.Finally, LCM of Fractions for 7686/623, 4002/5558 is 732366.