Least Common Multiple of 4015/712, 5098/8250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4015/712, 5098/8250 quickly i.e. 10234235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4015/712, 5098/8250 is 10234235.

LCM(4015/712, 5098/8250) = 10234235

LCM of 4015/712, 5098/8250

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 4015/712,5098/8250

Given numbers are 4015/712,5098/8250

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 4015,5098

Least Common Multiple of Numerators i.e. LCM of 4015,5098 is 20468470.

GCF of Denominators means GCF of 712,8250 as per the given fractions.

GCF of 712,8250 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4015,5098

LCM of Fractions 4015/712,5098/8250 is 10234235

Given numbers has no common factors except 1. So, there LCM is their product i.e 20468470

Least Common Multiple of 4015,5098 with GCF Formula

Least Common Multiple of 4015,5098 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 4015,5098 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4015,5098) = 1

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

GCF(4015,5098) x common factors =1 x 1 = 1

LCM(4015,5098) = ( 4015 × 5098 ) / 1

LCM(4015,5098) = 20468470 / 1

LCM(4015,5098) = 20468470


Lets's calculate GCF of 712,8250

2 712, 8250
356, 4125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20468470/2

Therefore the LCM of Fractions 4015/712,5098/8250 is 10234235

Greatest Common Factor of 712,8250 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,8250 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Greatest Common Factor

We found the factors 712,8250 . The biggest common factor number is the GCF number.
So the greatest common factor 712,8250 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 4015/712, 5098/8250

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 4015/712, 5098/8250?

Answer: LCM of Numerators as per given numbers 4015/712, 5098/8250 is

LCM of Numerators i.e. for 4015,5098 is 20468470

GCF of denominators i.e. for 712,8250 is 2.

Thus, LCM of Fractions is 10234235.Finally, LCM of Fractions for 4015/712, 5098/8250 is 10234235.