Least Common Multiple of 154/644, 7789/3790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 154/644, 7789/3790 quickly i.e. 599753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 154/644, 7789/3790 is 599753.

LCM(154/644, 7789/3790) = 599753

LCM of 154/644, 7789/3790

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 154/644,7789/3790

Given numbers are 154/644,7789/3790

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 154,7789

Least Common Multiple of Numerators i.e. LCM of 154,7789 is 1199506.

GCF of Denominators means GCF of 644,3790 as per the given fractions.

GCF of 644,3790 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 154,7789

LCM of Fractions 154/644,7789/3790 is 599753

Given numbers has no common factors except 1. So, there LCM is their product i.e 1199506

Least Common Multiple of 154,7789 with GCF Formula

Least Common Multiple of 154,7789 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 154,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,7789) = 1

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

GCF(154,7789) x common factors =1 x 1 = 1

LCM(154,7789) = ( 154 × 7789 ) / 1

LCM(154,7789) = 1199506 / 1

LCM(154,7789) = 1199506


Lets's calculate GCF of 644,3790

2 644, 3790
322, 1895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1199506/2

Therefore the LCM of Fractions 154/644,7789/3790 is 599753

Greatest Common Factor of 644,3790 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,3790 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 3790

List of positive integer factors of 3790 that divides 3790 without a remainder.

1,2,5,10,379,758,1895,3790

Greatest Common Factor

We found the factors 644,3790 . The biggest common factor number is the GCF number.
So the greatest common factor 644,3790 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 154/644, 7789/3790

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 154/644, 7789/3790?

Answer: LCM of Numerators as per given numbers 154/644, 7789/3790 is

LCM of Numerators i.e. for 154,7789 is 1199506

GCF of denominators i.e. for 644,3790 is 2.

Thus, LCM of Fractions is 599753.Finally, LCM of Fractions for 154/644, 7789/3790 is 599753.