Least Common Multiple of 663/34, 827/35, 449/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/34, 827/35, 449/818 quickly i.e. 246187149 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/34, 827/35, 449/818 is 246187149.

LCM(663/34, 827/35, 449/818) = 246187149

LCM of 663/34, 827/35, 449/818

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 663/34,827/35,449/818

Given numbers are 663/34,827/35,449/818

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 663,827,449

Least Common Multiple of Numerators i.e. LCM of 663,827,449 is 246187149.

GCF of Denominators means GCF of 34,35,818 as per the given fractions.

GCF of 34,35,818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,827,449

LCM of Fractions 663/34,827/35,449/818 is 246187149

Given numbers has no common factors except 1. So, there LCM is their product i.e 246187149

Least Common Multiple of 663,827,449 with GCF Formula

Least Common Multiple of 663,827,449 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 663,827,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,827,449) = 1

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

GCF(663,827,449) x common factors =1 x 1 = 1

LCM(663,827,449) = ( 663 × 827 × 449 ) / 1

LCM(663,827,449) = 246187149 / 1

LCM(663,827,449) = 246187149


Lets's calculate GCF of 34,35,818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246187149/1

Therefore the LCM of Fractions 663/34,827/35,449/818 is 246187149

Greatest Common Factor of 34,35,818 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,35,818 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Greatest Common Factor

We found the factors 34,35,818 . The biggest common factor number is the GCF number.
So the greatest common factor 34,35,818 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 663/34, 827/35, 449/818

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 663/34, 827/35, 449/818?

Answer: LCM of Numerators as per given numbers 663/34, 827/35, 449/818 is

LCM of Numerators i.e. for 663,827,449 is 246187149

GCF of denominators i.e. for 34,35,818 is 1.

Thus, LCM of Fractions is 246187149.Finally, LCM of Fractions for 663/34, 827/35, 449/818 is 246187149.