Least Common Multiple of 8015/838, 7638/7920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8015/838, 7638/7920 quickly i.e. 30609285 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8015/838, 7638/7920 is 30609285.

LCM(8015/838, 7638/7920) = 30609285

LCM of 8015/838, 7638/7920

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 8015/838,7638/7920

Given numbers are 8015/838,7638/7920

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 8015,7638

Least Common Multiple of Numerators i.e. LCM of 8015,7638 is 61218570.

GCF of Denominators means GCF of 838,7920 as per the given fractions.

GCF of 838,7920 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8015,7638

LCM of Fractions 8015/838,7638/7920 is 30609285

Given numbers has no common factors except 1. So, there LCM is their product i.e 61218570

Least Common Multiple of 8015,7638 with GCF Formula

Least Common Multiple of 8015,7638 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 8015,7638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8015,7638) = 1

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

GCF(8015,7638) x common factors =1 x 1 = 1

LCM(8015,7638) = ( 8015 × 7638 ) / 1

LCM(8015,7638) = 61218570 / 1

LCM(8015,7638) = 61218570


Lets's calculate GCF of 838,7920

2 838, 7920
419, 3960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61218570/2

Therefore the LCM of Fractions 8015/838,7638/7920 is 30609285

Greatest Common Factor of 838,7920 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,7920 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 7920

List of positive integer factors of 7920 that divides 7920 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920

Greatest Common Factor

We found the factors 838,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 838,7920 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 8015/838, 7638/7920

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 8015/838, 7638/7920?

Answer: LCM of Numerators as per given numbers 8015/838, 7638/7920 is

LCM of Numerators i.e. for 8015,7638 is 61218570

GCF of denominators i.e. for 838,7920 is 2.

Thus, LCM of Fractions is 30609285.Finally, LCM of Fractions for 8015/838, 7638/7920 is 30609285.