Least Common Multiple of 7693/25, 6486/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7693/25, 6486/774 quickly i.e. 49896798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7693/25, 6486/774 is 49896798.

LCM(7693/25, 6486/774) = 49896798

LCM of 7693/25, 6486/774

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 7693/25,6486/774

Given numbers are 7693/25,6486/774

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 7693,6486

Least Common Multiple of Numerators i.e. LCM of 7693,6486 is 49896798.

GCF of Denominators means GCF of 25,774 as per the given fractions.

GCF of 25,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7693,6486

LCM of Fractions 7693/25,6486/774 is 49896798

Given numbers has no common factors except 1. So, there LCM is their product i.e 49896798

Least Common Multiple of 7693,6486 with GCF Formula

Least Common Multiple of 7693,6486 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 7693,6486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7693,6486) = 1

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

GCF(7693,6486) x common factors =1 x 1 = 1

LCM(7693,6486) = ( 7693 × 6486 ) / 1

LCM(7693,6486) = 49896798 / 1

LCM(7693,6486) = 49896798


Lets's calculate GCF of 25,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49896798/1

Therefore the LCM of Fractions 7693/25,6486/774 is 49896798

Greatest Common Factor of 25,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,774 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 25,774 . The biggest common factor number is the GCF number.
So the greatest common factor 25,774 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7693/25, 6486/774

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 7693/25, 6486/774?

Answer: LCM of Numerators as per given numbers 7693/25, 6486/774 is

LCM of Numerators i.e. for 7693,6486 is 49896798

GCF of denominators i.e. for 25,774 is 1.

Thus, LCM of Fractions is 49896798.Finally, LCM of Fractions for 7693/25, 6486/774 is 49896798.