Least Common Multiple of 585/38, 3164/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 585/38, 3164/247 quickly i.e. 1850940/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 585/38, 3164/247 is 1850940/19.

LCM(585/38, 3164/247) = 1850940/19

LCM of 585/38, 3164/247

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 585/38,3164/247

Given numbers are 585/38,3164/247

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 585,3164

Least Common Multiple of Numerators i.e. LCM of 585,3164 is 1850940.

GCF of Denominators means GCF of 38,247 as per the given fractions.

GCF of 38,247 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 585,3164

LCM of Fractions 585/38,3164/247 is 1850940/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 1850940

Least Common Multiple of 585,3164 with GCF Formula

Least Common Multiple of 585,3164 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 585,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,3164) = 1

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

GCF(585,3164) x common factors =1 x 1 = 1

LCM(585,3164) = ( 585 × 3164 ) / 1

LCM(585,3164) = 1850940 / 1

LCM(585,3164) = 1850940


Lets's calculate GCF of 38,247

19 38, 247
2, 13

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1850940/19

Therefore the LCM of Fractions 585/38,3164/247 is 1850940/19

Greatest Common Factor of 38,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,247 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 38,247 . The biggest common factor number is the GCF number.
So the greatest common factor 38,247 is 19.


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 585/38, 3164/247

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 585/38, 3164/247?

Answer: LCM of Numerators as per given numbers 585/38, 3164/247 is

LCM of Numerators i.e. for 585,3164 is 1850940

GCF of denominators i.e. for 38,247 is 19.

Thus, LCM of Fractions is 1850940/19.Finally, LCM of Fractions for 585/38, 3164/247 is 1850940/19.