Least Common Multiple of 82/276, 6800/8893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/276, 6800/8893 quickly i.e. 278800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/276, 6800/8893 is 278800.

LCM(82/276, 6800/8893) = 278800

LCM of 82/276, 6800/8893

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 82/276,6800/8893

Given numbers are 82/276,6800/8893

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 82,6800

Least Common Multiple of Numerators i.e. LCM of 82,6800 is 278800.

GCF of Denominators means GCF of 276,8893 as per the given fractions.

GCF of 276,8893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,6800

LCM of Fractions 82/276,6800/8893 is 278800

2 82, 6800
41, 3400

∴ So the LCM of the given numbers is 2 x 41 x 3400 = 278800

Least Common Multiple of 82,6800 with GCF Formula

Least Common Multiple of 82,6800 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 82,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,6800) = 2

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

GCF(82,6800) x common factors =2 x 1 = 2

LCM(82,6800) = ( 82 × 6800 ) / 2

LCM(82,6800) = 557600 / 2

LCM(82,6800) = 278800


Lets's calculate GCF of 276,8893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278800/1

Therefore the LCM of Fractions 82/276,6800/8893 is 278800

Greatest Common Factor of 276,8893 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,8893 By Matching Biggest Common Factor Method

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

Factors of 8893

List of positive integer factors of 8893 that divides 8893 without a remainder.

1,8893

Greatest Common Factor

We found the factors 276,8893 . The biggest common factor number is the GCF number.
So the greatest common factor 276,8893 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 82/276, 6800/8893

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 82/276, 6800/8893?

Answer: LCM of Numerators as per given numbers 82/276, 6800/8893 is

LCM of Numerators i.e. for 82,6800 is 278800

GCF of denominators i.e. for 276,8893 is 1.

Thus, LCM of Fractions is 278800.Finally, LCM of Fractions for 82/276, 6800/8893 is 278800.