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LCM of 469, 470, 352, 704, 110

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


Find the LCM of 469, 470, 352, 704, 110 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 469, 470, 352, 704, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,470,352,704,110

Given numbers are 469,470,352,704,110

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

The LCM of 469,470,352,704,110 is 77591360.

Find LCM of 469,470,352,704,110 with Prime Factorization


2 469, 470, 352, 704, 110
2 469, 235, 176, 352, 55
2 469, 235, 88, 176, 55
2 469, 235, 44, 88, 55
2 469, 235, 22, 44, 55
5 469, 235, 11, 22, 55
11 469, 47, 11, 22, 11
469, 47, 1, 2, 1

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

2 x 2 x 2 x 2 x 2 x 5 x 11 x 469 x 47 x 1 x 2 x 1 = 77591360

Therefore, the lowest common multiple of 469,470,352,704,110 is 77591360.

LCM Formula to Find Lowest Common Multiple of 469,470,352,704,110

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.

469 x 470 x 352 x 704 x 110 = 6008674918400

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.

469 : 1, 7, 67, 469

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,470,352,704,110, is 1.

Now, the common factors can be found like this.

469:7x 67

470:2x 5x 47

352:2x 2x 2x 2x 2x 11

704:2x 2x 2x 2x 2x 2x 11

110:2x 5x 11

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 5x 11x 11 = 77440

Therefore, the value for common factors is 77440.

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 = 6008674918400/(1x77440)

LCM = 6008674918400/77440

LCM = 77591360

Thus, we can understand that the LCM of 469,470,352,704,110 is 77591360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 470, 352, 704, 110

1. What is the LCM of 469, 470, 352, 704, 110?

Answer: LCM of 469, 470, 352, 704, 110 is 77591360.

2. How to calculate the LCM of 469, 470, 352, 704, 110?

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 469, 470, 352, 704, 110.

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}.