LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 506, 451, 336

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 506, 451, 336 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 506, 451, 336. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,451,336

Given numbers are 506,451,336

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 506,451,336 is 3485328.

Find LCM of 506,451,336 with Prime Factorization


2 506, 451, 336
11 253, 451, 168
23, 41, 168

Multiply the prime numbers at the bottom and the left side.

2 x 11 x 23 x 41 x 168 = 3485328

Therefore, the lowest common multiple of 506,451,336 is 3485328.

LCM Formula to Find Lowest Common Multiple of 506,451,336

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

506 x 451 x 336 = 76677216

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

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

451 : 1, 11, 41, 451

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,451,336, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

451:11x 41

336:2x 2x 2x 2x 3x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 76677216/(1x22)

LCM = 76677216/22

LCM = 3485328

Thus, we can understand that the LCM of 506,451,336 is 3485328.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 506, 451, 336

1. What is the LCM of 506, 451, 336?

Answer: LCM of 506, 451, 336 is 3485328.

2. How to calculate the LCM of 506, 451, 336?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 506, 451, 336.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.