Least Common Multiple of 385/613, 1001/6326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 385/613, 1001/6326 quickly i.e. 5005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 385/613, 1001/6326 is 5005.

LCM(385/613, 1001/6326) = 5005

LCM of 385/613, 1001/6326

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 385/613,1001/6326

Given numbers are 385/613,1001/6326

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 385,1001

Least Common Multiple of Numerators i.e. LCM of 385,1001 is 5005.

GCF of Denominators means GCF of 613,6326 as per the given fractions.

GCF of 613,6326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 385,1001

LCM of Fractions 385/613,1001/6326 is 5005

7 385, 1001
11 55, 143
5, 13

∴ So the LCM of the given numbers is 7 x 11 x 5 x 13 = 5005

Least Common Multiple of 385,1001 with GCF Formula

Least Common Multiple of 385,1001 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 385,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,1001) = 77

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

GCF(385,1001) x common factors =77 x 1 = 77

LCM(385,1001) = ( 385 × 1001 ) / 77

LCM(385,1001) = 385385 / 77

LCM(385,1001) = 5005


Lets's calculate GCF of 613,6326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5005/1

Therefore the LCM of Fractions 385/613,1001/6326 is 5005

Greatest Common Factor of 613,6326 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,6326 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 6326

List of positive integer factors of 6326 that divides 6326 without a remainder.

1,2,3163,6326

Greatest Common Factor

We found the factors 613,6326 . The biggest common factor number is the GCF number.
So the greatest common factor 613,6326 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 385/613, 1001/6326

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 385/613, 1001/6326?

Answer: LCM of Numerators as per given numbers 385/613, 1001/6326 is

LCM of Numerators i.e. for 385,1001 is 5005

GCF of denominators i.e. for 613,6326 is 1.

Thus, LCM of Fractions is 5005.Finally, LCM of Fractions for 385/613, 1001/6326 is 5005.