Least Common Multiple of 8505/312, 3706/2184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8505/312, 3706/2184 quickly i.e. 31519530/312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8505/312, 3706/2184 is 31519530/312.

LCM(8505/312, 3706/2184) = 31519530/312

LCM of 8505/312, 3706/2184

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 8505/312,3706/2184

Given numbers are 8505/312,3706/2184

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 8505,3706

Least Common Multiple of Numerators i.e. LCM of 8505,3706 is 31519530.

GCF of Denominators means GCF of 312,2184 as per the given fractions.

GCF of 312,2184 is 312 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8505,3706

LCM of Fractions 8505/312,3706/2184 is 31519530/312

Given numbers has no common factors except 1. So, there LCM is their product i.e 31519530

Least Common Multiple of 8505,3706 with GCF Formula

Least Common Multiple of 8505,3706 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 8505,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8505,3706) = 1

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

GCF(8505,3706) x common factors =1 x 1 = 1

LCM(8505,3706) = ( 8505 × 3706 ) / 1

LCM(8505,3706) = 31519530 / 1

LCM(8505,3706) = 31519530


Lets's calculate GCF of 312,2184

2 312, 2184
2 156, 1092
2 78, 546
3 39, 273
13 13, 91
1, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 13 = 312

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31519530/312

Therefore the LCM of Fractions 8505/312,3706/2184 is 31519530/312

Greatest Common Factor of 312,2184 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,2184 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 2184

List of positive integer factors of 2184 that divides 2184 without a remainder.

1,2,3,4,6,7,8,12,13,14,21,24,26,28,39,42,52,56,78,84,91,104,156,168,182,273,312,364,546,728,1092,2184

Greatest Common Factor

We found the factors 312,2184 . The biggest common factor number is the GCF number.
So the greatest common factor 312,2184 is 312.


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 8505/312, 3706/2184

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 8505/312, 3706/2184?

Answer: LCM of Numerators as per given numbers 8505/312, 3706/2184 is

LCM of Numerators i.e. for 8505,3706 is 31519530

GCF of denominators i.e. for 312,2184 is 312.

Thus, LCM of Fractions is 31519530/312.Finally, LCM of Fractions for 8505/312, 3706/2184 is 31519530/312.