Least Common Multiple of 4890/765, 5733/3854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4890/765, 5733/3854 quickly i.e. 9344790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4890/765, 5733/3854 is 9344790.

LCM(4890/765, 5733/3854) = 9344790

LCM of 4890/765, 5733/3854

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 4890/765,5733/3854

Given numbers are 4890/765,5733/3854

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 4890,5733

Least Common Multiple of Numerators i.e. LCM of 4890,5733 is 9344790.

GCF of Denominators means GCF of 765,3854 as per the given fractions.

GCF of 765,3854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4890,5733

LCM of Fractions 4890/765,5733/3854 is 9344790

3 4890, 5733
1630, 1911

∴ So the LCM of the given numbers is 3 x 1630 x 1911 = 9344790

Least Common Multiple of 4890,5733 with GCF Formula

Least Common Multiple of 4890,5733 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 4890,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4890,5733) = 3

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

GCF(4890,5733) x common factors =3 x 1 = 3

LCM(4890,5733) = ( 4890 × 5733 ) / 3

LCM(4890,5733) = 28034370 / 3

LCM(4890,5733) = 9344790


Lets's calculate GCF of 765,3854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9344790/1

Therefore the LCM of Fractions 4890/765,5733/3854 is 9344790

Greatest Common Factor of 765,3854 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,3854 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1,2,41,47,82,94,1927,3854

Greatest Common Factor

We found the factors 765,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 765,3854 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 4890/765, 5733/3854

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 4890/765, 5733/3854?

Answer: LCM of Numerators as per given numbers 4890/765, 5733/3854 is

LCM of Numerators i.e. for 4890,5733 is 9344790

GCF of denominators i.e. for 765,3854 is 1.

Thus, LCM of Fractions is 9344790.Finally, LCM of Fractions for 4890/765, 5733/3854 is 9344790.