Least Common Multiple of 6863/120, 8115/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6863/120, 8115/505 quickly i.e. 11138649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6863/120, 8115/505 is 11138649.

LCM(6863/120, 8115/505) = 11138649

LCM of 6863/120, 8115/505

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 6863/120,8115/505

Given numbers are 6863/120,8115/505

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 6863,8115

Least Common Multiple of Numerators i.e. LCM of 6863,8115 is 55693245.

GCF of Denominators means GCF of 120,505 as per the given fractions.

GCF of 120,505 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6863,8115

LCM of Fractions 6863/120,8115/505 is 11138649

Given numbers has no common factors except 1. So, there LCM is their product i.e 55693245

Least Common Multiple of 6863,8115 with GCF Formula

Least Common Multiple of 6863,8115 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 6863,8115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6863,8115) = 1

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

GCF(6863,8115) x common factors =1 x 1 = 1

LCM(6863,8115) = ( 6863 × 8115 ) / 1

LCM(6863,8115) = 55693245 / 1

LCM(6863,8115) = 55693245


Lets's calculate GCF of 120,505

5 120, 505
24, 101

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55693245/5

Therefore the LCM of Fractions 6863/120,8115/505 is 11138649

Greatest Common Factor of 120,505 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,505 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Greatest Common Factor

We found the factors 120,505 . The biggest common factor number is the GCF number.
So the greatest common factor 120,505 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 6863/120, 8115/505

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 6863/120, 8115/505?

Answer: LCM of Numerators as per given numbers 6863/120, 8115/505 is

LCM of Numerators i.e. for 6863,8115 is 55693245

GCF of denominators i.e. for 120,505 is 5.

Thus, LCM of Fractions is 11138649.Finally, LCM of Fractions for 6863/120, 8115/505 is 11138649.