Least Common Multiple of 6623/640, 7002/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6623/640, 7002/306 quickly i.e. 23187123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6623/640, 7002/306 is 23187123.

LCM(6623/640, 7002/306) = 23187123

LCM of 6623/640, 7002/306

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 6623/640,7002/306

Given numbers are 6623/640,7002/306

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 6623,7002

Least Common Multiple of Numerators i.e. LCM of 6623,7002 is 46374246.

GCF of Denominators means GCF of 640,306 as per the given fractions.

GCF of 640,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6623,7002

LCM of Fractions 6623/640,7002/306 is 23187123

Given numbers has no common factors except 1. So, there LCM is their product i.e 46374246

Least Common Multiple of 6623,7002 with GCF Formula

Least Common Multiple of 6623,7002 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 6623,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6623,7002) = 1

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

GCF(6623,7002) x common factors =1 x 1 = 1

LCM(6623,7002) = ( 6623 × 7002 ) / 1

LCM(6623,7002) = 46374246 / 1

LCM(6623,7002) = 46374246


Lets's calculate GCF of 640,306

2 640, 306
320, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46374246/2

Therefore the LCM of Fractions 6623/640,7002/306 is 23187123

Greatest Common Factor of 640,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,306 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 640,306 . The biggest common factor number is the GCF number.
So the greatest common factor 640,306 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6623/640, 7002/306

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 6623/640, 7002/306?

Answer: LCM of Numerators as per given numbers 6623/640, 7002/306 is

LCM of Numerators i.e. for 6623,7002 is 46374246

GCF of denominators i.e. for 640,306 is 2.

Thus, LCM of Fractions is 23187123.Finally, LCM of Fractions for 6623/640, 7002/306 is 23187123.