Least Common Multiple of 283/316, 306/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 283/316, 306/441 quickly i.e. 86598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/316, 306/441 is 86598.

LCM(283/316, 306/441) = 86598

LCM of 283/316, 306/441

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 283/316,306/441

Given numbers are 283/316,306/441

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 283,306

Least Common Multiple of Numerators i.e. LCM of 283,306 is 86598.

GCF of Denominators means GCF of 316,441 as per the given fractions.

GCF of 316,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,306

LCM of Fractions 283/316,306/441 is 86598

Given numbers has no common factors except 1. So, there LCM is their product i.e 86598

Least Common Multiple of 283,306 with GCF Formula

Least Common Multiple of 283,306 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 283,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,306) = 1

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

GCF(283,306) x common factors =1 x 1 = 1

LCM(283,306) = ( 283 × 306 ) / 1

LCM(283,306) = 86598 / 1

LCM(283,306) = 86598


Lets's calculate GCF of 316,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86598/1

Therefore the LCM of Fractions 283/316,306/441 is 86598

Greatest Common Factor of 316,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 316,441 By Matching Biggest Common Factor Method

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 316,441 . The biggest common factor number is the GCF number.
So the greatest common factor 316,441 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 283/316, 306/441

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 283/316, 306/441?

Answer: LCM of Numerators as per given numbers 283/316, 306/441 is

LCM of Numerators i.e. for 283,306 is 86598

GCF of denominators i.e. for 316,441 is 1.

Thus, LCM of Fractions is 86598.Finally, LCM of Fractions for 283/316, 306/441 is 86598.