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LCM of 506, 539, 265, 467

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


Find the LCM of 506, 539, 265, 467 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, 539, 265, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,539,265,467

Given numbers are 506,539,265,467

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

The LCM of 506,539,265,467 is 3068381470.

Find LCM of 506,539,265,467 with Prime Factorization


11 506, 539, 265, 467
46, 49, 265, 467

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

11 x 46 x 49 x 265 x 467 = 3068381470

Therefore, the lowest common multiple of 506,539,265,467 is 3068381470.

LCM Formula to Find Lowest Common Multiple of 506,539,265,467

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 539 x 265 x 467 = 33752196170

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

539 : 1, 7, 11, 49, 77, 539

265 : 1, 5, 53, 265

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,539,265,467, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

539:7x 7x 11

265:5x 53

467:467

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

11 = 11

Therefore, the value for common factors is 11.

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 = 33752196170/(1x11)

LCM = 33752196170/11

LCM = 3068381470

Thus, we can understand that the LCM of 506,539,265,467 is 3068381470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 539, 265, 467

1. What is the LCM of 506, 539, 265, 467?

Answer: LCM of 506, 539, 265, 467 is 3068381470.

2. How to calculate the LCM of 506, 539, 265, 467?

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, 539, 265, 467.

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}.