Least Common Multiple of 764/314, 334/734, 886/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 764/314, 334/734, 886/516 quickly i.e. 28260742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 764/314, 334/734, 886/516 is 28260742.

LCM(764/314, 334/734, 886/516) = 28260742

LCM of 764/314, 334/734, 886/516

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 764/314,334/734,886/516

Given numbers are 764/314,334/734,886/516

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 764,334,886

Least Common Multiple of Numerators i.e. LCM of 764,334,886 is 56521484.

GCF of Denominators means GCF of 314,734,516 as per the given fractions.

GCF of 314,734,516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 764,334,886

LCM of Fractions 764/314,334/734,886/516 is 28260742

2 764, 334, 886
382, 167, 443

∴ So the LCM of the given numbers is 2 x 382 x 167 x 443 = 56521484

Least Common Multiple of 764,334,886 with GCF Formula

Least Common Multiple of 764,334,886 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 764,334,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(764,334,886) = 2

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

GCF(764,334,886) x common factors =2 x 2 = 4

LCM(764,334,886) = ( 764 × 334 × 886 ) / 4

LCM(764,334,886) = 226085936 / 4

LCM(764,334,886) = 56521484


Lets's calculate GCF of 314,734,516

2 314, 734, 516
157, 367, 258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56521484/2

Therefore the LCM of Fractions 764/314,334/734,886/516 is 28260742

Greatest Common Factor of 314,734,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,734,516 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 314,734,516 . The biggest common factor number is the GCF number.
So the greatest common factor 314,734,516 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 764/314, 334/734, 886/516

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 764/314, 334/734, 886/516?

Answer: LCM of Numerators as per given numbers 764/314, 334/734, 886/516 is

LCM of Numerators i.e. for 764,334,886 is 56521484

GCF of denominators i.e. for 314,734,516 is 2.

Thus, LCM of Fractions is 28260742.Finally, LCM of Fractions for 764/314, 334/734, 886/516 is 28260742.