Least Common Multiple of 7804/622, 3842/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7804/622, 3842/395 quickly i.e. 14991484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7804/622, 3842/395 is 14991484.

LCM(7804/622, 3842/395) = 14991484

LCM of 7804/622, 3842/395

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 7804/622,3842/395

Given numbers are 7804/622,3842/395

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 7804,3842

Least Common Multiple of Numerators i.e. LCM of 7804,3842 is 14991484.

GCF of Denominators means GCF of 622,395 as per the given fractions.

GCF of 622,395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7804,3842

LCM of Fractions 7804/622,3842/395 is 14991484

2 7804, 3842
3902, 1921

∴ So the LCM of the given numbers is 2 x 3902 x 1921 = 14991484

Least Common Multiple of 7804,3842 with GCF Formula

Least Common Multiple of 7804,3842 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 7804,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7804,3842) = 2

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

GCF(7804,3842) x common factors =2 x 1 = 2

LCM(7804,3842) = ( 7804 × 3842 ) / 2

LCM(7804,3842) = 29982968 / 2

LCM(7804,3842) = 14991484


Lets's calculate GCF of 622,395

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14991484/1

Therefore the LCM of Fractions 7804/622,3842/395 is 14991484

Greatest Common Factor of 622,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 622,395 By Matching Biggest Common Factor Method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 622,395 . The biggest common factor number is the GCF number.
So the greatest common factor 622,395 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7804/622, 3842/395

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 7804/622, 3842/395?

Answer: LCM of Numerators as per given numbers 7804/622, 3842/395 is

LCM of Numerators i.e. for 7804,3842 is 14991484

GCF of denominators i.e. for 622,395 is 1.

Thus, LCM of Fractions is 14991484.Finally, LCM of Fractions for 7804/622, 3842/395 is 14991484.