Least Common Multiple of 312/18, 804/7084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/18, 804/7084 quickly i.e. 10452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/18, 804/7084 is 10452.

LCM(312/18, 804/7084) = 10452

LCM of 312/18, 804/7084

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 312/18,804/7084

Given numbers are 312/18,804/7084

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 312,804

Least Common Multiple of Numerators i.e. LCM of 312,804 is 20904.

GCF of Denominators means GCF of 18,7084 as per the given fractions.

GCF of 18,7084 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,804

LCM of Fractions 312/18,804/7084 is 10452

2 312, 804
2 156, 402
3 78, 201
26, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 67 = 20904

Least Common Multiple of 312,804 with GCF Formula

Least Common Multiple of 312,804 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 312,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,804) = 12

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

GCF(312,804) x common factors =12 x 1 = 12

LCM(312,804) = ( 312 × 804 ) / 12

LCM(312,804) = 250848 / 12

LCM(312,804) = 20904


Lets's calculate GCF of 18,7084

2 18, 7084
9, 3542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20904/2

Therefore the LCM of Fractions 312/18,804/7084 is 10452

Greatest Common Factor of 18,7084 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,7084 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 7084

List of positive integer factors of 7084 that divides 7084 without a remainder.

1,2,4,7,11,14,22,23,28,44,46,77,92,154,161,253,308,322,506,644,1012,1771,3542,7084

Greatest Common Factor

We found the factors 18,7084 . The biggest common factor number is the GCF number.
So the greatest common factor 18,7084 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 312/18, 804/7084

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 312/18, 804/7084?

Answer: LCM of Numerators as per given numbers 312/18, 804/7084 is

LCM of Numerators i.e. for 312,804 is 20904

GCF of denominators i.e. for 18,7084 is 2.

Thus, LCM of Fractions is 10452.Finally, LCM of Fractions for 312/18, 804/7084 is 10452.