Least Common Multiple of 49/673, 664/608, 846/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/673, 664/608, 846/766 quickly i.e. 13762728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/673, 664/608, 846/766 is 13762728.

LCM(49/673, 664/608, 846/766) = 13762728

LCM of 49/673, 664/608, 846/766

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 49/673,664/608,846/766

Given numbers are 49/673,664/608,846/766

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 49,664,846

Least Common Multiple of Numerators i.e. LCM of 49,664,846 is 13762728.

GCF of Denominators means GCF of 673,608,766 as per the given fractions.

GCF of 673,608,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,664,846

LCM of Fractions 49/673,664/608,846/766 is 13762728

2 49, 664, 846
49, 332, 423

∴ So the LCM of the given numbers is 2 x 49 x 332 x 423 = 13762728

Least Common Multiple of 49,664,846 with GCF Formula

Least Common Multiple of 49,664,846 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 49,664,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,664,846) = 1

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

GCF(49,664,846) x common factors =1 x 2 = 2

LCM(49,664,846) = ( 49 × 664 × 846 ) / 2

LCM(49,664,846) = 27525456 / 2

LCM(49,664,846) = 13762728


Lets's calculate GCF of 673,608,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13762728/1

Therefore the LCM of Fractions 49/673,664/608,846/766 is 13762728

Greatest Common Factor of 673,608,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 673,608,766 By Matching Biggest Common Factor Method

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 673,608,766 . The biggest common factor number is the GCF number.
So the greatest common factor 673,608,766 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 49/673, 664/608, 846/766

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 49/673, 664/608, 846/766?

Answer: LCM of Numerators as per given numbers 49/673, 664/608, 846/766 is

LCM of Numerators i.e. for 49,664,846 is 13762728

GCF of denominators i.e. for 673,608,766 is 1.

Thus, LCM of Fractions is 13762728.Finally, LCM of Fractions for 49/673, 664/608, 846/766 is 13762728.