Least Common Multiple of 815/196, 286/484, 211/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 815/196, 286/484, 211/466 quickly i.e. 24590995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/196, 286/484, 211/466 is 24590995.

LCM(815/196, 286/484, 211/466) = 24590995

LCM of 815/196, 286/484, 211/466

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 815/196,286/484,211/466

Given numbers are 815/196,286/484,211/466

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 815,286,211

Least Common Multiple of Numerators i.e. LCM of 815,286,211 is 49181990.

GCF of Denominators means GCF of 196,484,466 as per the given fractions.

GCF of 196,484,466 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,286,211

LCM of Fractions 815/196,286/484,211/466 is 24590995

Given numbers has no common factors except 1. So, there LCM is their product i.e 49181990

Least Common Multiple of 815,286,211 with GCF Formula

Least Common Multiple of 815,286,211 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 815,286,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,286,211) = 1

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

GCF(815,286,211) x common factors =1 x 1 = 1

LCM(815,286,211) = ( 815 × 286 × 211 ) / 1

LCM(815,286,211) = 49181990 / 1

LCM(815,286,211) = 49181990


Lets's calculate GCF of 196,484,466

2 196, 484, 466
98, 242, 233

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49181990/2

Therefore the LCM of Fractions 815/196,286/484,211/466 is 24590995

Greatest Common Factor of 196,484,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,484,466 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Greatest Common Factor

We found the factors 196,484,466 . The biggest common factor number is the GCF number.
So the greatest common factor 196,484,466 is 2.


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 815/196, 286/484, 211/466

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 815/196, 286/484, 211/466?

Answer: LCM of Numerators as per given numbers 815/196, 286/484, 211/466 is

LCM of Numerators i.e. for 815,286,211 is 49181990

GCF of denominators i.e. for 196,484,466 is 2.

Thus, LCM of Fractions is 24590995.Finally, LCM of Fractions for 815/196, 286/484, 211/466 is 24590995.