Least Common Multiple of 314/882, 399/608, 733/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/882, 399/608, 733/963 quickly i.e. 91834638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/882, 399/608, 733/963 is 91834638.

LCM(314/882, 399/608, 733/963) = 91834638

LCM of 314/882, 399/608, 733/963

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 314/882,399/608,733/963

Given numbers are 314/882,399/608,733/963

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 314,399,733

Least Common Multiple of Numerators i.e. LCM of 314,399,733 is 91834638.

GCF of Denominators means GCF of 882,608,963 as per the given fractions.

GCF of 882,608,963 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,399,733

LCM of Fractions 314/882,399/608,733/963 is 91834638

Given numbers has no common factors except 1. So, there LCM is their product i.e 91834638

Least Common Multiple of 314,399,733 with GCF Formula

Least Common Multiple of 314,399,733 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 314,399,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,399,733) = 1

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

GCF(314,399,733) x common factors =1 x 1 = 1

LCM(314,399,733) = ( 314 × 399 × 733 ) / 1

LCM(314,399,733) = 91834638 / 1

LCM(314,399,733) = 91834638


Lets's calculate GCF of 882,608,963

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91834638/1

Therefore the LCM of Fractions 314/882,399/608,733/963 is 91834638

Greatest Common Factor of 882,608,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,608,963 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

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 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 882,608,963 . The biggest common factor number is the GCF number.
So the greatest common factor 882,608,963 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 314/882, 399/608, 733/963

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 314/882, 399/608, 733/963?

Answer: LCM of Numerators as per given numbers 314/882, 399/608, 733/963 is

LCM of Numerators i.e. for 314,399,733 is 91834638

GCF of denominators i.e. for 882,608,963 is 1.

Thus, LCM of Fractions is 91834638.Finally, LCM of Fractions for 314/882, 399/608, 733/963 is 91834638.