Least Common Multiple of 7149/616, 6721/6006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7149/616, 6721/6006 quickly i.e. 48048429/154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7149/616, 6721/6006 is 48048429/154.

LCM(7149/616, 6721/6006) = 48048429/154

LCM of 7149/616, 6721/6006

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 7149/616,6721/6006

Given numbers are 7149/616,6721/6006

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 7149,6721

Least Common Multiple of Numerators i.e. LCM of 7149,6721 is 48048429.

GCF of Denominators means GCF of 616,6006 as per the given fractions.

GCF of 616,6006 is 154 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7149,6721

LCM of Fractions 7149/616,6721/6006 is 48048429/154

Given numbers has no common factors except 1. So, there LCM is their product i.e 48048429

Least Common Multiple of 7149,6721 with GCF Formula

Least Common Multiple of 7149,6721 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 7149,6721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7149,6721) = 1

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

GCF(7149,6721) x common factors =1 x 1 = 1

LCM(7149,6721) = ( 7149 × 6721 ) / 1

LCM(7149,6721) = 48048429 / 1

LCM(7149,6721) = 48048429


Lets's calculate GCF of 616,6006

2 616, 6006
7 308, 3003
11 44, 429
4, 39

∴ So the GCF of the given numbers is 2 x 7 x 11 = 154

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48048429/154

Therefore the LCM of Fractions 7149/616,6721/6006 is 48048429/154

Greatest Common Factor of 616,6006 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,6006 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 6006

List of positive integer factors of 6006 that divides 6006 without a remainder.

1,2,3,6,7,11,13,14,21,22,26,33,39,42,66,77,78,91,143,154,182,231,273,286,429,462,546,858,1001,2002,3003,6006

Greatest Common Factor

We found the factors 616,6006 . The biggest common factor number is the GCF number.
So the greatest common factor 616,6006 is 154.


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 7149/616, 6721/6006

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 7149/616, 6721/6006?

Answer: LCM of Numerators as per given numbers 7149/616, 6721/6006 is

LCM of Numerators i.e. for 7149,6721 is 48048429

GCF of denominators i.e. for 616,6006 is 154.

Thus, LCM of Fractions is 48048429/154.Finally, LCM of Fractions for 7149/616, 6721/6006 is 48048429/154.