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LCM of 773, 821, 352, 547, 518

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


Find the LCM of 773, 821, 352, 547, 518 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 773, 821, 352, 547, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 773,821,352,547,518

Given numbers are 773,821,352,547,518

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

The LCM of 773,821,352,547,518 is 31648447075168.

Find LCM of 773,821,352,547,518 with Prime Factorization


2 773, 821, 352, 547, 518
773, 821, 176, 547, 259

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

2 x 773 x 821 x 176 x 547 x 259 = 31648447075168

Therefore, the lowest common multiple of 773,821,352,547,518 is 31648447075168.

LCM Formula to Find Lowest Common Multiple of 773,821,352,547,518

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.

773 x 821 x 352 x 547 x 518 = 63296894150336

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.

773 : 1, 773

821 : 1, 821

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

547 : 1, 547

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,821,352,547,518, is 1.

Now, the common factors can be found like this.

773:773

821:821

352:2x 2x 2x 2x 2x 11

547:547

518:2x 7x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63296894150336/(1x2)

LCM = 63296894150336/2

LCM = 31648447075168

Thus, we can understand that the LCM of 773,821,352,547,518 is 31648447075168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 773, 821, 352, 547, 518

1. What is the LCM of 773, 821, 352, 547, 518?

Answer: LCM of 773, 821, 352, 547, 518 is 31648447075168.

2. How to calculate the LCM of 773, 821, 352, 547, 518?

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 773, 821, 352, 547, 518.

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}.