Least Common Multiple of 6328/240, 3149/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6328/240, 3149/646 quickly i.e. 9963436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6328/240, 3149/646 is 9963436.

LCM(6328/240, 3149/646) = 9963436

LCM of 6328/240, 3149/646

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 6328/240,3149/646

Given numbers are 6328/240,3149/646

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 6328,3149

Least Common Multiple of Numerators i.e. LCM of 6328,3149 is 19926872.

GCF of Denominators means GCF of 240,646 as per the given fractions.

GCF of 240,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6328,3149

LCM of Fractions 6328/240,3149/646 is 9963436

Given numbers has no common factors except 1. So, there LCM is their product i.e 19926872

Least Common Multiple of 6328,3149 with GCF Formula

Least Common Multiple of 6328,3149 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 6328,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6328,3149) = 1

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

GCF(6328,3149) x common factors =1 x 1 = 1

LCM(6328,3149) = ( 6328 × 3149 ) / 1

LCM(6328,3149) = 19926872 / 1

LCM(6328,3149) = 19926872


Lets's calculate GCF of 240,646

2 240, 646
120, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19926872/2

Therefore the LCM of Fractions 6328/240,3149/646 is 9963436

Greatest Common Factor of 240,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,646 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 240,646 . The biggest common factor number is the GCF number.
So the greatest common factor 240,646 is 2.


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 6328/240, 3149/646

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 6328/240, 3149/646?

Answer: LCM of Numerators as per given numbers 6328/240, 3149/646 is

LCM of Numerators i.e. for 6328,3149 is 19926872

GCF of denominators i.e. for 240,646 is 2.

Thus, LCM of Fractions is 9963436.Finally, LCM of Fractions for 6328/240, 3149/646 is 9963436.