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LCM of 555, 442, 747, 195, 516

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


Find the LCM of 555, 442, 747, 195, 516 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 555, 442, 747, 195, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,442,747,195,516

Given numbers are 555,442,747,195,516

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

The LCM of 555,442,747,195,516 is 5253068340.

Find LCM of 555,442,747,195,516 with Prime Factorization


2 555, 442, 747, 195, 516
3 555, 221, 747, 195, 258
5 185, 221, 249, 65, 86
13 37, 221, 249, 13, 86
37, 17, 249, 1, 86

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

2 x 3 x 5 x 13 x 37 x 17 x 249 x 1 x 86 = 5253068340

Therefore, the lowest common multiple of 555,442,747,195,516 is 5253068340.

LCM Formula to Find Lowest Common Multiple of 555,442,747,195,516

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.

555 x 442 x 747 x 195 x 516 = 18438269873400

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.

555 : 1, 3, 5, 15, 37, 111, 185, 555

442 : 1, 2, 13, 17, 26, 34, 221, 442

747 : 1, 3, 9, 83, 249, 747

195 : 1, 3, 5, 13, 15, 39, 65, 195

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,442,747,195,516, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

442:2x 13x 17

747:3x 3x 83

195:3x 5x 13

516:2x 2x 3x 43

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

2x 3x 3x 3x 5x 13 = 3510

Therefore, the value for common factors is 3510.

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 = 18438269873400/(1x3510)

LCM = 18438269873400/3510

LCM = 5253068340

Thus, we can understand that the LCM of 555,442,747,195,516 is 5253068340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 442, 747, 195, 516

1. What is the LCM of 555, 442, 747, 195, 516?

Answer: LCM of 555, 442, 747, 195, 516 is 5253068340.

2. How to calculate the LCM of 555, 442, 747, 195, 516?

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 555, 442, 747, 195, 516.

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}.