Least Common Multiple of 73/306, 83/882, 276/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/306, 83/882, 276/814 quickly i.e. 836142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/306, 83/882, 276/814 is 836142.

LCM(73/306, 83/882, 276/814) = 836142

LCM of 73/306, 83/882, 276/814

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 73/306,83/882,276/814

Given numbers are 73/306,83/882,276/814

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 73,83,276

Least Common Multiple of Numerators i.e. LCM of 73,83,276 is 1672284.

GCF of Denominators means GCF of 306,882,814 as per the given fractions.

GCF of 306,882,814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,83,276

LCM of Fractions 73/306,83/882,276/814 is 836142

Given numbers has no common factors except 1. So, there LCM is their product i.e 1672284

Least Common Multiple of 73,83,276 with GCF Formula

Least Common Multiple of 73,83,276 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 73,83,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,83,276) = 1

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

GCF(73,83,276) x common factors =1 x 1 = 1

LCM(73,83,276) = ( 73 × 83 × 276 ) / 1

LCM(73,83,276) = 1672284 / 1

LCM(73,83,276) = 1672284


Lets's calculate GCF of 306,882,814

2 306, 882, 814
153, 441, 407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1672284/2

Therefore the LCM of Fractions 73/306,83/882,276/814 is 836142

Greatest Common Factor of 306,882,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,882,814 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 306,882,814 . The biggest common factor number is the GCF number.
So the greatest common factor 306,882,814 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 73/306, 83/882, 276/814

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 73/306, 83/882, 276/814?

Answer: LCM of Numerators as per given numbers 73/306, 83/882, 276/814 is

LCM of Numerators i.e. for 73,83,276 is 1672284

GCF of denominators i.e. for 306,882,814 is 2.

Thus, LCM of Fractions is 836142.Finally, LCM of Fractions for 73/306, 83/882, 276/814 is 836142.