Least Common Multiple of 464/916, 764/465, 799/991

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/916, 764/465, 799/991 quickly i.e. 70810576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/916, 764/465, 799/991 is 70810576.

LCM(464/916, 764/465, 799/991) = 70810576

LCM of 464/916, 764/465, 799/991

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 464/916,764/465,799/991

Given numbers are 464/916,764/465,799/991

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 464,764,799

Least Common Multiple of Numerators i.e. LCM of 464,764,799 is 70810576.

GCF of Denominators means GCF of 916,465,991 as per the given fractions.

GCF of 916,465,991 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,764,799

LCM of Fractions 464/916,764/465,799/991 is 70810576

2 464, 764, 799
2 232, 382, 799
116, 191, 799

∴ So the LCM of the given numbers is 2 x 2 x 116 x 191 x 799 = 70810576

Least Common Multiple of 464,764,799 with GCF Formula

Least Common Multiple of 464,764,799 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 464,764,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,764,799) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(464,764,799) x common factors =1 x 4 = 4

LCM(464,764,799) = ( 464 × 764 × 799 ) / 4

LCM(464,764,799) = 283242304 / 4

LCM(464,764,799) = 70810576


Lets's calculate GCF of 916,465,991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70810576/1

Therefore the LCM of Fractions 464/916,764/465,799/991 is 70810576

Greatest Common Factor of 916,465,991 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,465,991 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 991

List of positive integer factors of 991 that divides 991 without a remainder.

1,991

Greatest Common Factor

We found the factors 916,465,991 . The biggest common factor number is the GCF number.
So the greatest common factor 916,465,991 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 464/916, 764/465, 799/991

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 464/916, 764/465, 799/991?

Answer: LCM of Numerators as per given numbers 464/916, 764/465, 799/991 is

LCM of Numerators i.e. for 464,764,799 is 70810576

GCF of denominators i.e. for 916,465,991 is 1.

Thus, LCM of Fractions is 70810576.Finally, LCM of Fractions for 464/916, 764/465, 799/991 is 70810576.