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LCM of 473, 960, 411, 704

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


Find the LCM of 473, 960, 411, 704 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 473, 960, 411, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,960,411,704

Given numbers are 473,960,411,704

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

The LCM of 473,960,411,704 is 62208960.

Find LCM of 473,960,411,704 with Prime Factorization


2 473, 960, 411, 704
2 473, 480, 411, 352
2 473, 240, 411, 176
2 473, 120, 411, 88
2 473, 60, 411, 44
2 473, 30, 411, 22
3 473, 15, 411, 11
11 473, 5, 137, 11
43, 5, 137, 1

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 43 x 5 x 137 x 1 = 62208960

Therefore, the lowest common multiple of 473,960,411,704 is 62208960.

LCM Formula to Find Lowest Common Multiple of 473,960,411,704

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.

473 x 960 x 411 x 704 = 131385323520

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.

473 : 1, 11, 43, 473

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

411 : 1, 3, 137, 411

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,960,411,704, is 1.

Now, the common factors can be found like this.

473:11x 43

960:2x 2x 2x 2x 2x 2x 3x 5

411:3x 137

704:2x 2x 2x 2x 2x 2x 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 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 131385323520/(1x2112)

LCM = 131385323520/2112

LCM = 62208960

Thus, we can understand that the LCM of 473,960,411,704 is 62208960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 960, 411, 704

1. What is the LCM of 473, 960, 411, 704?

Answer: LCM of 473, 960, 411, 704 is 62208960.

2. How to calculate the LCM of 473, 960, 411, 704?

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 473, 960, 411, 704.

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}.