Least Common Multiple of 1833/798, 9528/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1833/798, 9528/740 quickly i.e. 2910804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1833/798, 9528/740 is 2910804.

LCM(1833/798, 9528/740) = 2910804

LCM of 1833/798, 9528/740

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 1833/798,9528/740

Given numbers are 1833/798,9528/740

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 1833,9528

Least Common Multiple of Numerators i.e. LCM of 1833,9528 is 5821608.

GCF of Denominators means GCF of 798,740 as per the given fractions.

GCF of 798,740 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1833,9528

LCM of Fractions 1833/798,9528/740 is 2910804

3 1833, 9528
611, 3176

∴ So the LCM of the given numbers is 3 x 611 x 3176 = 5821608

Least Common Multiple of 1833,9528 with GCF Formula

Least Common Multiple of 1833,9528 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 1833,9528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1833,9528) = 3

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

GCF(1833,9528) x common factors =3 x 1 = 3

LCM(1833,9528) = ( 1833 × 9528 ) / 3

LCM(1833,9528) = 17464824 / 3

LCM(1833,9528) = 5821608


Lets's calculate GCF of 798,740

2 798, 740
399, 370

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5821608/2

Therefore the LCM of Fractions 1833/798,9528/740 is 2910804

Greatest Common Factor of 798,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,740 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 798,740 . The biggest common factor number is the GCF number.
So the greatest common factor 798,740 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 1833/798, 9528/740

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 1833/798, 9528/740?

Answer: LCM of Numerators as per given numbers 1833/798, 9528/740 is

LCM of Numerators i.e. for 1833,9528 is 5821608

GCF of denominators i.e. for 798,740 is 2.

Thus, LCM of Fractions is 2910804.Finally, LCM of Fractions for 1833/798, 9528/740 is 2910804.