Least Common Multiple of 3987/368, 8651/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3987/368, 8651/575 quickly i.e. 34491537/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3987/368, 8651/575 is 34491537/23.

LCM(3987/368, 8651/575) = 34491537/23

LCM of 3987/368, 8651/575

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 3987/368,8651/575

Given numbers are 3987/368,8651/575

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 3987,8651

Least Common Multiple of Numerators i.e. LCM of 3987,8651 is 34491537.

GCF of Denominators means GCF of 368,575 as per the given fractions.

GCF of 368,575 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3987,8651

LCM of Fractions 3987/368,8651/575 is 34491537/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 34491537

Least Common Multiple of 3987,8651 with GCF Formula

Least Common Multiple of 3987,8651 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 3987,8651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3987,8651) = 1

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

GCF(3987,8651) x common factors =1 x 1 = 1

LCM(3987,8651) = ( 3987 × 8651 ) / 1

LCM(3987,8651) = 34491537 / 1

LCM(3987,8651) = 34491537


Lets's calculate GCF of 368,575

23 368, 575
16, 25

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34491537/23

Therefore the LCM of Fractions 3987/368,8651/575 is 34491537/23

Greatest Common Factor of 368,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,575 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 368,575 . The biggest common factor number is the GCF number.
So the greatest common factor 368,575 is 23.


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 3987/368, 8651/575

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 3987/368, 8651/575?

Answer: LCM of Numerators as per given numbers 3987/368, 8651/575 is

LCM of Numerators i.e. for 3987,8651 is 34491537

GCF of denominators i.e. for 368,575 is 23.

Thus, LCM of Fractions is 34491537/23.Finally, LCM of Fractions for 3987/368, 8651/575 is 34491537/23.