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LCM of 708, 352, 550, 511

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


Find the LCM of 708, 352, 550, 511 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 708, 352, 550, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,352,550,511

Given numbers are 708,352,550,511

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

The LCM of 708,352,550,511 is 795933600.

Find LCM of 708,352,550,511 with Prime Factorization


2 708, 352, 550, 511
2 354, 176, 275, 511
11 177, 88, 275, 511
177, 8, 25, 511

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

2 x 2 x 11 x 177 x 8 x 25 x 511 = 795933600

Therefore, the lowest common multiple of 708,352,550,511 is 795933600.

LCM Formula to Find Lowest Common Multiple of 708,352,550,511

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.

708 x 352 x 550 x 511 = 70042156800

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,352,550,511, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

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

550:2x 5x 5x 11

511:7x 73

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

2x 2x 2x 11 = 88

Therefore, the value for common factors is 88.

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 = 70042156800/(1x88)

LCM = 70042156800/88

LCM = 795933600

Thus, we can understand that the LCM of 708,352,550,511 is 795933600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 352, 550, 511

1. What is the LCM of 708, 352, 550, 511?

Answer: LCM of 708, 352, 550, 511 is 795933600.

2. How to calculate the LCM of 708, 352, 550, 511?

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 708, 352, 550, 511.

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}.