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LCM of 555, 392, 223, 966

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


Find the LCM of 555, 392, 223, 966 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, 392, 223, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 555,392,223,966

Given numbers are 555,392,223,966

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

The LCM of 555,392,223,966 is 1115865240.

Find LCM of 555,392,223,966 with Prime Factorization


2 555, 392, 223, 966
3 555, 196, 223, 483
7 185, 196, 223, 161
185, 28, 223, 23

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

2 x 3 x 7 x 185 x 28 x 223 x 23 = 1115865240

Therefore, the lowest common multiple of 555,392,223,966 is 1115865240.

LCM Formula to Find Lowest Common Multiple of 555,392,223,966

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 392 x 223 x 966 = 46866340080

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

223 : 1, 223

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,392,223,966, is 1.

Now, the common factors can be found like this.

555:3x 5x 37

392:2x 2x 2x 7x 7

223:223

966:2x 3x 7x 23

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 7 = 42

Therefore, the value for common factors is 42.

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 = 46866340080/(1x42)

LCM = 46866340080/42

LCM = 1115865240

Thus, we can understand that the LCM of 555,392,223,966 is 1115865240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 555, 392, 223, 966

1. What is the LCM of 555, 392, 223, 966?

Answer: LCM of 555, 392, 223, 966 is 1115865240.

2. How to calculate the LCM of 555, 392, 223, 966?

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, 392, 223, 966.

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}.