Least Common Multiple of 85/732, 3111/4774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/732, 3111/4774 quickly i.e. 15555/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/732, 3111/4774 is 15555/2.

LCM(85/732, 3111/4774) = 15555/2

LCM of 85/732, 3111/4774

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 85/732,3111/4774

Given numbers are 85/732,3111/4774

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 85,3111

Least Common Multiple of Numerators i.e. LCM of 85,3111 is 15555.

GCF of Denominators means GCF of 732,4774 as per the given fractions.

GCF of 732,4774 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,3111

LCM of Fractions 85/732,3111/4774 is 15555/2

17 85, 3111
5, 183

∴ So the LCM of the given numbers is 17 x 5 x 183 = 15555

Least Common Multiple of 85,3111 with GCF Formula

Least Common Multiple of 85,3111 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 85,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,3111) = 17

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

GCF(85,3111) x common factors =17 x 1 = 17

LCM(85,3111) = ( 85 × 3111 ) / 17

LCM(85,3111) = 264435 / 17

LCM(85,3111) = 15555


Lets's calculate GCF of 732,4774

2 732, 4774
366, 2387

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15555/2

Therefore the LCM of Fractions 85/732,3111/4774 is 15555/2

Greatest Common Factor of 732,4774 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,4774 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774

Greatest Common Factor

We found the factors 732,4774 . The biggest common factor number is the GCF number.
So the greatest common factor 732,4774 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 85/732, 3111/4774

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 85/732, 3111/4774?

Answer: LCM of Numerators as per given numbers 85/732, 3111/4774 is

LCM of Numerators i.e. for 85,3111 is 15555

GCF of denominators i.e. for 732,4774 is 2.

Thus, LCM of Fractions is 15555/2.Finally, LCM of Fractions for 85/732, 3111/4774 is 15555/2.