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LCM of 440, 804, 992, 952, 764

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


Find the LCM of 440, 804, 992, 952, 764 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 440, 804, 992, 952, 764. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,804,992,952,764

Given numbers are 440,804,992,952,764

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

The LCM of 440,804,992,952,764 is 249258942240.

Find LCM of 440,804,992,952,764 with Prime Factorization


2 440, 804, 992, 952, 764
2 220, 402, 496, 476, 382
2 110, 201, 248, 238, 191
55, 201, 124, 119, 191

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

2 x 2 x 2 x 55 x 201 x 124 x 119 x 191 = 249258942240

Therefore, the lowest common multiple of 440,804,992,952,764 is 249258942240.

LCM Formula to Find Lowest Common Multiple of 440,804,992,952,764

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.

440 x 804 x 992 x 952 x 764 = 255241156853760

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

764 : 1, 2, 4, 191, 382, 764

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,804,992,952,764, is 4.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

804:2x 2x 3x 67

992:2x 2x 2x 2x 2x 31

952:2x 2x 2x 7x 17

764:2x 2x 191

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 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 255241156853760/(4x256)

LCM = 255241156853760/1024

LCM = 249258942240

Thus, we can understand that the LCM of 440,804,992,952,764 is 249258942240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 804, 992, 952, 764

1. What is the LCM of 440, 804, 992, 952, 764?

Answer: LCM of 440, 804, 992, 952, 764 is 249258942240.

2. How to calculate the LCM of 440, 804, 992, 952, 764?

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 440, 804, 992, 952, 764.

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}.