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LCM of 464, 380, 736, 872

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


Find the LCM of 464, 380, 736, 872 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 464, 380, 736, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,380,736,872

Given numbers are 464,380,736,872

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

The LCM of 464,380,736,872 is 221017120.

Find LCM of 464,380,736,872 with Prime Factorization


2 464, 380, 736, 872
2 232, 190, 368, 436
2 116, 95, 184, 218
2 58, 95, 92, 109
29, 95, 46, 109

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

2 x 2 x 2 x 2 x 29 x 95 x 46 x 109 = 221017120

Therefore, the lowest common multiple of 464,380,736,872 is 221017120.

LCM Formula to Find Lowest Common Multiple of 464,380,736,872

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.

464 x 380 x 736 x 872 = 113160765440

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

872 : 1, 2, 4, 8, 109, 218, 436, 872

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,380,736,872, is 4.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

380:2x 2x 5x 19

736:2x 2x 2x 2x 2x 23

872:2x 2x 2x 109

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 2 = 128

Therefore, the value for common factors is 128.

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 = 113160765440/(4x128)

LCM = 113160765440/512

LCM = 221017120

Thus, we can understand that the LCM of 464,380,736,872 is 221017120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 380, 736, 872

1. What is the LCM of 464, 380, 736, 872?

Answer: LCM of 464, 380, 736, 872 is 221017120.

2. How to calculate the LCM of 464, 380, 736, 872?

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 464, 380, 736, 872.

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}.