Least Common Multiple of 30/796, 8283/1123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/796, 8283/1123 quickly i.e. 82830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/796, 8283/1123 is 82830.

LCM(30/796, 8283/1123) = 82830

LCM of 30/796, 8283/1123

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 30/796,8283/1123

Given numbers are 30/796,8283/1123

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 30,8283

Least Common Multiple of Numerators i.e. LCM of 30,8283 is 82830.

GCF of Denominators means GCF of 796,1123 as per the given fractions.

GCF of 796,1123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,8283

LCM of Fractions 30/796,8283/1123 is 82830

3 30, 8283
10, 2761

∴ So the LCM of the given numbers is 3 x 10 x 2761 = 82830

Least Common Multiple of 30,8283 with GCF Formula

Least Common Multiple of 30,8283 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 30,8283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,8283) = 3

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

GCF(30,8283) x common factors =3 x 1 = 3

LCM(30,8283) = ( 30 × 8283 ) / 3

LCM(30,8283) = 248490 / 3

LCM(30,8283) = 82830


Lets's calculate GCF of 796,1123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82830/1

Therefore the LCM of Fractions 30/796,8283/1123 is 82830

Greatest Common Factor of 796,1123 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,1123 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1,1123

Greatest Common Factor

We found the factors 796,1123 . The biggest common factor number is the GCF number.
So the greatest common factor 796,1123 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 30/796, 8283/1123

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 30/796, 8283/1123?

Answer: LCM of Numerators as per given numbers 30/796, 8283/1123 is

LCM of Numerators i.e. for 30,8283 is 82830

GCF of denominators i.e. for 796,1123 is 1.

Thus, LCM of Fractions is 82830.Finally, LCM of Fractions for 30/796, 8283/1123 is 82830.