Least Common Multiple of 82/505, 794/247, 377/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/505, 794/247, 377/276 quickly i.e. 12272858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/505, 794/247, 377/276 is 12272858.

LCM(82/505, 794/247, 377/276) = 12272858

LCM of 82/505, 794/247, 377/276

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 82/505,794/247,377/276

Given numbers are 82/505,794/247,377/276

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 82,794,377

Least Common Multiple of Numerators i.e. LCM of 82,794,377 is 12272858.

GCF of Denominators means GCF of 505,247,276 as per the given fractions.

GCF of 505,247,276 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,794,377

LCM of Fractions 82/505,794/247,377/276 is 12272858

2 82, 794, 377
41, 397, 377

∴ So the LCM of the given numbers is 2 x 41 x 397 x 377 = 12272858

Least Common Multiple of 82,794,377 with GCF Formula

Least Common Multiple of 82,794,377 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 82,794,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,794,377) = 1

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

GCF(82,794,377) x common factors =1 x 2 = 2

LCM(82,794,377) = ( 82 × 794 × 377 ) / 2

LCM(82,794,377) = 24545716 / 2

LCM(82,794,377) = 12272858


Lets's calculate GCF of 505,247,276

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12272858/1

Therefore the LCM of Fractions 82/505,794/247,377/276 is 12272858

Greatest Common Factor of 505,247,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,247,276 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 505,247,276 . The biggest common factor number is the GCF number.
So the greatest common factor 505,247,276 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 82/505, 794/247, 377/276

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 82/505, 794/247, 377/276?

Answer: LCM of Numerators as per given numbers 82/505, 794/247, 377/276 is

LCM of Numerators i.e. for 82,794,377 is 12272858

GCF of denominators i.e. for 505,247,276 is 1.

Thus, LCM of Fractions is 12272858.Finally, LCM of Fractions for 82/505, 794/247, 377/276 is 12272858.