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LCM of 555, 566, 998, 144

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


Find the LCM of 555, 566, 998, 144 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, 566, 998, 144. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,566,998,144

Given numbers are 555,566,998,144

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

The LCM of 555,566,998,144 is 3762020880.

Find LCM of 555,566,998,144 with Prime Factorization


2 555, 566, 998, 144
3 555, 283, 499, 72
185, 283, 499, 24

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

2 x 3 x 185 x 283 x 499 x 24 = 3762020880

Therefore, the lowest common multiple of 555,566,998,144 is 3762020880.

LCM Formula to Find Lowest Common Multiple of 555,566,998,144

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 566 x 998 x 144 = 45144250560

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

566 : 1, 2, 283, 566

998 : 1, 2, 499, 998

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,566,998,144, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

566:2x 283

998:2x 499

144:2x 2x 2x 2x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 45144250560/(1x12)

LCM = 45144250560/12

LCM = 3762020880

Thus, we can understand that the LCM of 555,566,998,144 is 3762020880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 566, 998, 144

1. What is the LCM of 555, 566, 998, 144?

Answer: LCM of 555, 566, 998, 144 is 3762020880.

2. How to calculate the LCM of 555, 566, 998, 144?

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, 566, 998, 144.

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}.