Least Common Multiple of 4687/715, 8614/7985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4687/715, 8614/7985 quickly i.e. 40373818/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4687/715, 8614/7985 is 40373818/5.

LCM(4687/715, 8614/7985) = 40373818/5

LCM of 4687/715, 8614/7985

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 4687/715,8614/7985

Given numbers are 4687/715,8614/7985

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 4687,8614

Least Common Multiple of Numerators i.e. LCM of 4687,8614 is 40373818.

GCF of Denominators means GCF of 715,7985 as per the given fractions.

GCF of 715,7985 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4687,8614

LCM of Fractions 4687/715,8614/7985 is 40373818/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 40373818

Least Common Multiple of 4687,8614 with GCF Formula

Least Common Multiple of 4687,8614 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 4687,8614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4687,8614) = 1

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

GCF(4687,8614) x common factors =1 x 1 = 1

LCM(4687,8614) = ( 4687 × 8614 ) / 1

LCM(4687,8614) = 40373818 / 1

LCM(4687,8614) = 40373818


Lets's calculate GCF of 715,7985

5 715, 7985
143, 1597

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40373818/5

Therefore the LCM of Fractions 4687/715,8614/7985 is 40373818/5

Greatest Common Factor of 715,7985 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,7985 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 7985

List of positive integer factors of 7985 that divides 7985 without a remainder.

1,5,1597,7985

Greatest Common Factor

We found the factors 715,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 715,7985 is 5.


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 4687/715, 8614/7985

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 4687/715, 8614/7985?

Answer: LCM of Numerators as per given numbers 4687/715, 8614/7985 is

LCM of Numerators i.e. for 4687,8614 is 40373818

GCF of denominators i.e. for 715,7985 is 5.

Thus, LCM of Fractions is 40373818/5.Finally, LCM of Fractions for 4687/715, 8614/7985 is 40373818/5.