Least Common Multiple of 82/499, 599/420, 848/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/499, 599/420, 848/351 quickly i.e. 20826032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/499, 599/420, 848/351 is 20826032.

LCM(82/499, 599/420, 848/351) = 20826032

LCM of 82/499, 599/420, 848/351

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 82/499,599/420,848/351

Given numbers are 82/499,599/420,848/351

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 82,599,848

Least Common Multiple of Numerators i.e. LCM of 82,599,848 is 20826032.

GCF of Denominators means GCF of 499,420,351 as per the given fractions.

GCF of 499,420,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,599,848

LCM of Fractions 82/499,599/420,848/351 is 20826032

2 82, 599, 848
41, 599, 424

∴ So the LCM of the given numbers is 2 x 41 x 599 x 424 = 20826032

Least Common Multiple of 82,599,848 with GCF Formula

Least Common Multiple of 82,599,848 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 82,599,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,599,848) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,599,848) x common factors =1 x 2 = 2

LCM(82,599,848) = ( 82 × 599 × 848 ) / 2

LCM(82,599,848) = 41652064 / 2

LCM(82,599,848) = 20826032


Lets's calculate GCF of 499,420,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20826032/1

Therefore the LCM of Fractions 82/499,599/420,848/351 is 20826032

Greatest Common Factor of 499,420,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,420,351 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 499,420,351 . The biggest common factor number is the GCF number.
So the greatest common factor 499,420,351 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 82/499, 599/420, 848/351

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 82/499, 599/420, 848/351?

Answer: LCM of Numerators as per given numbers 82/499, 599/420, 848/351 is

LCM of Numerators i.e. for 82,599,848 is 20826032

GCF of denominators i.e. for 499,420,351 is 1.

Thus, LCM of Fractions is 20826032.Finally, LCM of Fractions for 82/499, 599/420, 848/351 is 20826032.