Least Common Multiple of 4662/774, 2004/2383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4662/774, 2004/2383 quickly i.e. 1557108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4662/774, 2004/2383 is 1557108.

LCM(4662/774, 2004/2383) = 1557108

LCM of 4662/774, 2004/2383

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 4662/774,2004/2383

Given numbers are 4662/774,2004/2383

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 4662,2004

Least Common Multiple of Numerators i.e. LCM of 4662,2004 is 1557108.

GCF of Denominators means GCF of 774,2383 as per the given fractions.

GCF of 774,2383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4662,2004

LCM of Fractions 4662/774,2004/2383 is 1557108

2 4662, 2004
3 2331, 1002
777, 334

∴ So the LCM of the given numbers is 2 x 3 x 777 x 334 = 1557108

Least Common Multiple of 4662,2004 with GCF Formula

Least Common Multiple of 4662,2004 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 4662,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4662,2004) = 6

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

GCF(4662,2004) x common factors =6 x 1 = 6

LCM(4662,2004) = ( 4662 × 2004 ) / 6

LCM(4662,2004) = 9342648 / 6

LCM(4662,2004) = 1557108


Lets's calculate GCF of 774,2383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1557108/1

Therefore the LCM of Fractions 4662/774,2004/2383 is 1557108

Greatest Common Factor of 774,2383 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,2383 By Matching Biggest Common Factor Method

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

Factors of 2383

List of positive integer factors of 2383 that divides 2383 without a remainder.

1,2383

Greatest Common Factor

We found the factors 774,2383 . The biggest common factor number is the GCF number.
So the greatest common factor 774,2383 is 1.


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 4662/774, 2004/2383

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 4662/774, 2004/2383?

Answer: LCM of Numerators as per given numbers 4662/774, 2004/2383 is

LCM of Numerators i.e. for 4662,2004 is 1557108

GCF of denominators i.e. for 774,2383 is 1.

Thus, LCM of Fractions is 1557108.Finally, LCM of Fractions for 4662/774, 2004/2383 is 1557108.