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LCM of 952, 470, 204, 464

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


Find the LCM of 952, 470, 204, 464 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 952, 470, 204, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 952,470,204,464

Given numbers are 952,470,204,464

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

The LCM of 952,470,204,464 is 38927280.

Find LCM of 952,470,204,464 with Prime Factorization


2 952, 470, 204, 464
2 476, 235, 102, 232
2 238, 235, 51, 116
17 119, 235, 51, 58
7, 235, 3, 58

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

2 x 2 x 2 x 17 x 7 x 235 x 3 x 58 = 38927280

Therefore, the lowest common multiple of 952,470,204,464 is 38927280.

LCM Formula to Find Lowest Common Multiple of 952,470,204,464

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.

952 x 470 x 204 x 464 = 42352880640

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.

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

470 : 1, 2, 5, 10, 47, 94, 235, 470

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,470,204,464, is 2.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

470:2x 5x 47

204:2x 2x 3x 17

464:2x 2x 2x 2x 29

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 17 = 544

Therefore, the value for common factors is 544.

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 = 42352880640/(2x544)

LCM = 42352880640/1088

LCM = 38927280

Thus, we can understand that the LCM of 952,470,204,464 is 38927280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 952, 470, 204, 464

1. What is the LCM of 952, 470, 204, 464?

Answer: LCM of 952, 470, 204, 464 is 38927280.

2. How to calculate the LCM of 952, 470, 204, 464?

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 952, 470, 204, 464.

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}.