Least Common Multiple of 86/509, 8625/4874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/509, 8625/4874 quickly i.e. 741750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/509, 8625/4874 is 741750.

LCM(86/509, 8625/4874) = 741750

LCM of 86/509, 8625/4874

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 86/509,8625/4874

Given numbers are 86/509,8625/4874

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 86,8625

Least Common Multiple of Numerators i.e. LCM of 86,8625 is 741750.

GCF of Denominators means GCF of 509,4874 as per the given fractions.

GCF of 509,4874 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,8625

LCM of Fractions 86/509,8625/4874 is 741750

Given numbers has no common factors except 1. So, there LCM is their product i.e 741750

Least Common Multiple of 86,8625 with GCF Formula

Least Common Multiple of 86,8625 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 86,8625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,8625) = 1

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

GCF(86,8625) x common factors =1 x 1 = 1

LCM(86,8625) = ( 86 × 8625 ) / 1

LCM(86,8625) = 741750 / 1

LCM(86,8625) = 741750


Lets's calculate GCF of 509,4874

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 741750/1

Therefore the LCM of Fractions 86/509,8625/4874 is 741750

Greatest Common Factor of 509,4874 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,4874 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 4874

List of positive integer factors of 4874 that divides 4874 without a remainder.

1,2,2437,4874

Greatest Common Factor

We found the factors 509,4874 . The biggest common factor number is the GCF number.
So the greatest common factor 509,4874 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 86/509, 8625/4874

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 86/509, 8625/4874?

Answer: LCM of Numerators as per given numbers 86/509, 8625/4874 is

LCM of Numerators i.e. for 86,8625 is 741750

GCF of denominators i.e. for 509,4874 is 1.

Thus, LCM of Fractions is 741750.Finally, LCM of Fractions for 86/509, 8625/4874 is 741750.