Least Common Multiple of 312/962, 219/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/962, 219/506 quickly i.e. 11388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/962, 219/506 is 11388.

LCM(312/962, 219/506) = 11388

LCM of 312/962, 219/506

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 312/962,219/506

Given numbers are 312/962,219/506

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 312,219

Least Common Multiple of Numerators i.e. LCM of 312,219 is 22776.

GCF of Denominators means GCF of 962,506 as per the given fractions.

GCF of 962,506 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,219

LCM of Fractions 312/962,219/506 is 11388

3 312, 219
104, 73

∴ So the LCM of the given numbers is 3 x 104 x 73 = 22776

Least Common Multiple of 312,219 with GCF Formula

Least Common Multiple of 312,219 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 312,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,219) = 3

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

GCF(312,219) x common factors =3 x 1 = 3

LCM(312,219) = ( 312 × 219 ) / 3

LCM(312,219) = 68328 / 3

LCM(312,219) = 22776


Lets's calculate GCF of 962,506

2 962, 506
481, 253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22776/2

Therefore the LCM of Fractions 312/962,219/506 is 11388

Greatest Common Factor of 962,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,506 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 962,506 . The biggest common factor number is the GCF number.
So the greatest common factor 962,506 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 312/962, 219/506

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 312/962, 219/506?

Answer: LCM of Numerators as per given numbers 312/962, 219/506 is

LCM of Numerators i.e. for 312,219 is 22776

GCF of denominators i.e. for 962,506 is 2.

Thus, LCM of Fractions is 11388.Finally, LCM of Fractions for 312/962, 219/506 is 11388.