Least Common Multiple of 927/68, 311/61, 313/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 927/68, 311/61, 313/774 quickly i.e. 90236961 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 927/68, 311/61, 313/774 is 90236961.

LCM(927/68, 311/61, 313/774) = 90236961

LCM of 927/68, 311/61, 313/774

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 927/68,311/61,313/774

Given numbers are 927/68,311/61,313/774

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 927,311,313

Least Common Multiple of Numerators i.e. LCM of 927,311,313 is 90236961.

GCF of Denominators means GCF of 68,61,774 as per the given fractions.

GCF of 68,61,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 927,311,313

LCM of Fractions 927/68,311/61,313/774 is 90236961

Given numbers has no common factors except 1. So, there LCM is their product i.e 90236961

Least Common Multiple of 927,311,313 with GCF Formula

Least Common Multiple of 927,311,313 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 927,311,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,311,313) = 1

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

GCF(927,311,313) x common factors =1 x 1 = 1

LCM(927,311,313) = ( 927 × 311 × 313 ) / 1

LCM(927,311,313) = 90236961 / 1

LCM(927,311,313) = 90236961


Lets's calculate GCF of 68,61,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90236961/1

Therefore the LCM of Fractions 927/68,311/61,313/774 is 90236961

Greatest Common Factor of 68,61,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,61,774 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 68,61,774 . The biggest common factor number is the GCF number.
So the greatest common factor 68,61,774 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 927/68, 311/61, 313/774

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 927/68, 311/61, 313/774?

Answer: LCM of Numerators as per given numbers 927/68, 311/61, 313/774 is

LCM of Numerators i.e. for 927,311,313 is 90236961

GCF of denominators i.e. for 68,61,774 is 1.

Thus, LCM of Fractions is 90236961.Finally, LCM of Fractions for 927/68, 311/61, 313/774 is 90236961.