Least Common Multiple of 7774/786, 9788/1244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7774/786, 9788/1244 quickly i.e. 19022978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7774/786, 9788/1244 is 19022978.

LCM(7774/786, 9788/1244) = 19022978

LCM of 7774/786, 9788/1244

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 7774/786,9788/1244

Given numbers are 7774/786,9788/1244

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 7774,9788

Least Common Multiple of Numerators i.e. LCM of 7774,9788 is 38045956.

GCF of Denominators means GCF of 786,1244 as per the given fractions.

GCF of 786,1244 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7774,9788

LCM of Fractions 7774/786,9788/1244 is 19022978

2 7774, 9788
3887, 4894

∴ So the LCM of the given numbers is 2 x 3887 x 4894 = 38045956

Least Common Multiple of 7774,9788 with GCF Formula

Least Common Multiple of 7774,9788 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 7774,9788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7774,9788) = 2

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

GCF(7774,9788) x common factors =2 x 1 = 2

LCM(7774,9788) = ( 7774 × 9788 ) / 2

LCM(7774,9788) = 76091912 / 2

LCM(7774,9788) = 38045956


Lets's calculate GCF of 786,1244

2 786, 1244
393, 622

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38045956/2

Therefore the LCM of Fractions 7774/786,9788/1244 is 19022978

Greatest Common Factor of 786,1244 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,1244 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Greatest Common Factor

We found the factors 786,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 786,1244 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 7774/786, 9788/1244

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 7774/786, 9788/1244?

Answer: LCM of Numerators as per given numbers 7774/786, 9788/1244 is

LCM of Numerators i.e. for 7774,9788 is 38045956

GCF of denominators i.e. for 786,1244 is 2.

Thus, LCM of Fractions is 19022978.Finally, LCM of Fractions for 7774/786, 9788/1244 is 19022978.