Least Common Multiple of 105/117, 6284/8499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 105/117, 6284/8499 quickly i.e. 219940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 105/117, 6284/8499 is 219940.

LCM(105/117, 6284/8499) = 219940

LCM of 105/117, 6284/8499

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 105/117,6284/8499

Given numbers are 105/117,6284/8499

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 105,6284

Least Common Multiple of Numerators i.e. LCM of 105,6284 is 659820.

GCF of Denominators means GCF of 117,8499 as per the given fractions.

GCF of 117,8499 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 105,6284

LCM of Fractions 105/117,6284/8499 is 219940

Given numbers has no common factors except 1. So, there LCM is their product i.e 659820

Least Common Multiple of 105,6284 with GCF Formula

Least Common Multiple of 105,6284 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 105,6284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,6284) = 1

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

GCF(105,6284) x common factors =1 x 1 = 1

LCM(105,6284) = ( 105 × 6284 ) / 1

LCM(105,6284) = 659820 / 1

LCM(105,6284) = 659820


Lets's calculate GCF of 117,8499

3 117, 8499
39, 2833

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659820/3

Therefore the LCM of Fractions 105/117,6284/8499 is 219940

Greatest Common Factor of 117,8499 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,8499 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Factors of 8499

List of positive integer factors of 8499 that divides 8499 without a remainder.

1,3,2833,8499

Greatest Common Factor

We found the factors 117,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 117,8499 is 3.


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 105/117, 6284/8499

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 105/117, 6284/8499?

Answer: LCM of Numerators as per given numbers 105/117, 6284/8499 is

LCM of Numerators i.e. for 105,6284 is 659820

GCF of denominators i.e. for 117,8499 is 3.

Thus, LCM of Fractions is 219940.Finally, LCM of Fractions for 105/117, 6284/8499 is 219940.