Least Common Multiple of 82/304, 275/463, 139/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/304, 275/463, 139/488 quickly i.e. 3134450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/304, 275/463, 139/488 is 3134450.

LCM(82/304, 275/463, 139/488) = 3134450

LCM of 82/304, 275/463, 139/488

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 82/304,275/463,139/488

Given numbers are 82/304,275/463,139/488

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 82,275,139

Least Common Multiple of Numerators i.e. LCM of 82,275,139 is 3134450.

GCF of Denominators means GCF of 304,463,488 as per the given fractions.

GCF of 304,463,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,275,139

LCM of Fractions 82/304,275/463,139/488 is 3134450

Given numbers has no common factors except 1. So, there LCM is their product i.e 3134450

Least Common Multiple of 82,275,139 with GCF Formula

Least Common Multiple of 82,275,139 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 82,275,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,275,139) = 1

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

GCF(82,275,139) x common factors =1 x 1 = 1

LCM(82,275,139) = ( 82 × 275 × 139 ) / 1

LCM(82,275,139) = 3134450 / 1

LCM(82,275,139) = 3134450


Lets's calculate GCF of 304,463,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3134450/1

Therefore the LCM of Fractions 82/304,275/463,139/488 is 3134450

Greatest Common Factor of 304,463,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,463,488 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 304,463,488 . The biggest common factor number is the GCF number.
So the greatest common factor 304,463,488 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 82/304, 275/463, 139/488

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 82/304, 275/463, 139/488?

Answer: LCM of Numerators as per given numbers 82/304, 275/463, 139/488 is

LCM of Numerators i.e. for 82,275,139 is 3134450

GCF of denominators i.e. for 304,463,488 is 1.

Thus, LCM of Fractions is 3134450.Finally, LCM of Fractions for 82/304, 275/463, 139/488 is 3134450.