Least Common Multiple of 6630/382, 3628/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6630/382, 3628/640 quickly i.e. 6013410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6630/382, 3628/640 is 6013410.

LCM(6630/382, 3628/640) = 6013410

LCM of 6630/382, 3628/640

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 6630/382,3628/640

Given numbers are 6630/382,3628/640

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 6630,3628

Least Common Multiple of Numerators i.e. LCM of 6630,3628 is 12026820.

GCF of Denominators means GCF of 382,640 as per the given fractions.

GCF of 382,640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6630,3628

LCM of Fractions 6630/382,3628/640 is 6013410

2 6630, 3628
3315, 1814

∴ So the LCM of the given numbers is 2 x 3315 x 1814 = 12026820

Least Common Multiple of 6630,3628 with GCF Formula

Least Common Multiple of 6630,3628 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 6630,3628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6630,3628) = 2

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

GCF(6630,3628) x common factors =2 x 1 = 2

LCM(6630,3628) = ( 6630 × 3628 ) / 2

LCM(6630,3628) = 24053640 / 2

LCM(6630,3628) = 12026820


Lets's calculate GCF of 382,640

2 382, 640
191, 320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12026820/2

Therefore the LCM of Fractions 6630/382,3628/640 is 6013410

Greatest Common Factor of 382,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,640 By Matching Biggest Common Factor Method

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

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

Greatest Common Factor

We found the factors 382,640 . The biggest common factor number is the GCF number.
So the greatest common factor 382,640 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6630/382, 3628/640

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 6630/382, 3628/640?

Answer: LCM of Numerators as per given numbers 6630/382, 3628/640 is

LCM of Numerators i.e. for 6630,3628 is 12026820

GCF of denominators i.e. for 382,640 is 2.

Thus, LCM of Fractions is 6013410.Finally, LCM of Fractions for 6630/382, 3628/640 is 6013410.