Least Common Multiple of 37/866, 17/287, 351/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/866, 17/287, 351/313 quickly i.e. 220779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/866, 17/287, 351/313 is 220779.

LCM(37/866, 17/287, 351/313) = 220779

LCM of 37/866, 17/287, 351/313

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 37/866,17/287,351/313

Given numbers are 37/866,17/287,351/313

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 37,17,351

Least Common Multiple of Numerators i.e. LCM of 37,17,351 is 220779.

GCF of Denominators means GCF of 866,287,313 as per the given fractions.

GCF of 866,287,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,17,351

LCM of Fractions 37/866,17/287,351/313 is 220779

Given numbers has no common factors except 1. So, there LCM is their product i.e 220779

Least Common Multiple of 37,17,351 with GCF Formula

Least Common Multiple of 37,17,351 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 37,17,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,17,351) = 1

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

GCF(37,17,351) x common factors =1 x 1 = 1

LCM(37,17,351) = ( 37 × 17 × 351 ) / 1

LCM(37,17,351) = 220779 / 1

LCM(37,17,351) = 220779


Lets's calculate GCF of 866,287,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220779/1

Therefore the LCM of Fractions 37/866,17/287,351/313 is 220779

Greatest Common Factor of 866,287,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,287,313 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 866,287,313 . The biggest common factor number is the GCF number.
So the greatest common factor 866,287,313 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 37/866, 17/287, 351/313

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 37/866, 17/287, 351/313?

Answer: LCM of Numerators as per given numbers 37/866, 17/287, 351/313 is

LCM of Numerators i.e. for 37,17,351 is 220779

GCF of denominators i.e. for 866,287,313 is 1.

Thus, LCM of Fractions is 220779.Finally, LCM of Fractions for 37/866, 17/287, 351/313 is 220779.