Least Common Multiple of 82/98, 808/71, 309/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/98, 808/71, 309/552 quickly i.e. 10236552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/98, 808/71, 309/552 is 10236552.

LCM(82/98, 808/71, 309/552) = 10236552

LCM of 82/98, 808/71, 309/552

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 82/98,808/71,309/552

Given numbers are 82/98,808/71,309/552

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 82,808,309

Least Common Multiple of Numerators i.e. LCM of 82,808,309 is 10236552.

GCF of Denominators means GCF of 98,71,552 as per the given fractions.

GCF of 98,71,552 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,808,309

LCM of Fractions 82/98,808/71,309/552 is 10236552

2 82, 808, 309
41, 404, 309

∴ So the LCM of the given numbers is 2 x 41 x 404 x 309 = 10236552

Least Common Multiple of 82,808,309 with GCF Formula

Least Common Multiple of 82,808,309 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 82,808,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,808,309) = 1

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

GCF(82,808,309) x common factors =1 x 2 = 2

LCM(82,808,309) = ( 82 × 808 × 309 ) / 2

LCM(82,808,309) = 20473104 / 2

LCM(82,808,309) = 10236552


Lets's calculate GCF of 98,71,552

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10236552/1

Therefore the LCM of Fractions 82/98,808/71,309/552 is 10236552

Greatest Common Factor of 98,71,552 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,71,552 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Greatest Common Factor

We found the factors 98,71,552 . The biggest common factor number is the GCF number.
So the greatest common factor 98,71,552 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 82/98, 808/71, 309/552

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 82/98, 808/71, 309/552?

Answer: LCM of Numerators as per given numbers 82/98, 808/71, 309/552 is

LCM of Numerators i.e. for 82,808,309 is 10236552

GCF of denominators i.e. for 98,71,552 is 1.

Thus, LCM of Fractions is 10236552.Finally, LCM of Fractions for 82/98, 808/71, 309/552 is 10236552.