Least Common Multiple of 314/687, 964/363, 185/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 314/687, 964/363, 185/771 quickly i.e. 27999380/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 314/687, 964/363, 185/771 is 27999380/3.

LCM(314/687, 964/363, 185/771) = 27999380/3

LCM of 314/687, 964/363, 185/771

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 314/687,964/363,185/771

Given numbers are 314/687,964/363,185/771

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 314,964,185

Least Common Multiple of Numerators i.e. LCM of 314,964,185 is 27999380.

GCF of Denominators means GCF of 687,363,771 as per the given fractions.

GCF of 687,363,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 314,964,185

LCM of Fractions 314/687,964/363,185/771 is 27999380/3

2 314, 964, 185
157, 482, 185

∴ So the LCM of the given numbers is 2 x 157 x 482 x 185 = 27999380

Least Common Multiple of 314,964,185 with GCF Formula

Least Common Multiple of 314,964,185 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 314,964,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,964,185) = 1

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

GCF(314,964,185) x common factors =1 x 2 = 2

LCM(314,964,185) = ( 314 × 964 × 185 ) / 2

LCM(314,964,185) = 55998760 / 2

LCM(314,964,185) = 27999380


Lets's calculate GCF of 687,363,771

3 687, 363, 771
229, 121, 257

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27999380/3

Therefore the LCM of Fractions 314/687,964/363,185/771 is 27999380/3

Greatest Common Factor of 687,363,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,363,771 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 687,363,771 . The biggest common factor number is the GCF number.
So the greatest common factor 687,363,771 is 3.


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 314/687, 964/363, 185/771

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 314/687, 964/363, 185/771?

Answer: LCM of Numerators as per given numbers 314/687, 964/363, 185/771 is

LCM of Numerators i.e. for 314,964,185 is 27999380

GCF of denominators i.e. for 687,363,771 is 3.

Thus, LCM of Fractions is 27999380/3.Finally, LCM of Fractions for 314/687, 964/363, 185/771 is 27999380/3.