Least Common Multiple of 82/200, 994/194, 474/811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/200, 994/194, 474/811 quickly i.e. 9658698 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/200, 994/194, 474/811 is 9658698.

LCM(82/200, 994/194, 474/811) = 9658698

LCM of 82/200, 994/194, 474/811

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 82/200,994/194,474/811

Given numbers are 82/200,994/194,474/811

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 82,994,474

Least Common Multiple of Numerators i.e. LCM of 82,994,474 is 9658698.

GCF of Denominators means GCF of 200,194,811 as per the given fractions.

GCF of 200,194,811 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,994,474

LCM of Fractions 82/200,994/194,474/811 is 9658698

2 82, 994, 474
41, 497, 237

∴ So the LCM of the given numbers is 2 x 41 x 497 x 237 = 9658698

Least Common Multiple of 82,994,474 with GCF Formula

Least Common Multiple of 82,994,474 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 82,994,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,994,474) = 2

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

GCF(82,994,474) x common factors =2 x 2 = 4

LCM(82,994,474) = ( 82 × 994 × 474 ) / 4

LCM(82,994,474) = 38634792 / 4

LCM(82,994,474) = 9658698


Lets's calculate GCF of 200,194,811

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9658698/1

Therefore the LCM of Fractions 82/200,994/194,474/811 is 9658698

Greatest Common Factor of 200,194,811 By Matching Biggest Common Factor Method

Greatest Common Factor of 200,194,811 By Matching Biggest Common Factor Method

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Greatest Common Factor

We found the factors 200,194,811 . The biggest common factor number is the GCF number.
So the greatest common factor 200,194,811 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 82/200, 994/194, 474/811

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 82/200, 994/194, 474/811?

Answer: LCM of Numerators as per given numbers 82/200, 994/194, 474/811 is

LCM of Numerators i.e. for 82,994,474 is 9658698

GCF of denominators i.e. for 200,194,811 is 1.

Thus, LCM of Fractions is 9658698.Finally, LCM of Fractions for 82/200, 994/194, 474/811 is 9658698.