Least Common Multiple of 14/313, 6001/7749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/313, 6001/7749 quickly i.e. 84014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/313, 6001/7749 is 84014.

LCM(14/313, 6001/7749) = 84014

LCM of 14/313, 6001/7749

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 14/313,6001/7749

Given numbers are 14/313,6001/7749

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 14,6001

Least Common Multiple of Numerators i.e. LCM of 14,6001 is 84014.

GCF of Denominators means GCF of 313,7749 as per the given fractions.

GCF of 313,7749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,6001

LCM of Fractions 14/313,6001/7749 is 84014

Given numbers has no common factors except 1. So, there LCM is their product i.e 84014

Least Common Multiple of 14,6001 with GCF Formula

Least Common Multiple of 14,6001 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 14,6001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,6001) = 1

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

GCF(14,6001) x common factors =1 x 1 = 1

LCM(14,6001) = ( 14 × 6001 ) / 1

LCM(14,6001) = 84014 / 1

LCM(14,6001) = 84014


Lets's calculate GCF of 313,7749

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84014/1

Therefore the LCM of Fractions 14/313,6001/7749 is 84014

Greatest Common Factor of 313,7749 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,7749 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 7749

List of positive integer factors of 7749 that divides 7749 without a remainder.

1,3,7,9,21,27,41,63,123,189,287,369,861,1107,2583,7749

Greatest Common Factor

We found the factors 313,7749 . The biggest common factor number is the GCF number.
So the greatest common factor 313,7749 is 1.


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 14/313, 6001/7749

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 14/313, 6001/7749?

Answer: LCM of Numerators as per given numbers 14/313, 6001/7749 is

LCM of Numerators i.e. for 14,6001 is 84014

GCF of denominators i.e. for 313,7749 is 1.

Thus, LCM of Fractions is 84014.Finally, LCM of Fractions for 14/313, 6001/7749 is 84014.