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LCM of 473, 990, 194, 388, 280

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


Find the LCM of 473, 990, 194, 388, 280 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, 990, 194, 388, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,990,194,388,280

Given numbers are 473,990,194,388,280

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

The LCM of 473,990,194,388,280 is 115620120.

Find LCM of 473,990,194,388,280 with Prime Factorization


2 473, 990, 194, 388, 280
2 473, 495, 97, 194, 140
5 473, 495, 97, 97, 70
11 473, 99, 97, 97, 14
97 43, 9, 97, 97, 14
43, 9, 1, 1, 14

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

2 x 2 x 5 x 11 x 97 x 43 x 9 x 1 x 1 x 14 = 115620120

Therefore, the lowest common multiple of 473,990,194,388,280 is 115620120.

LCM Formula to Find Lowest Common Multiple of 473,990,194,388,280

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 990 x 194 x 388 x 280 = 9869333443200

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

194 : 1, 2, 97, 194

388 : 1, 2, 4, 97, 194, 388

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,990,194,388,280, is 1.

Now, the common factors can be found like this.

473:11x 43

990:2x 3x 3x 5x 11

194:2x 97

388:2x 2x 97

280:2x 2x 2x 5x 7

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 5x 11x 97 = 85360

Therefore, the value for common factors is 85360.

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 = 9869333443200/(1x85360)

LCM = 9869333443200/85360

LCM = 115620120

Thus, we can understand that the LCM of 473,990,194,388,280 is 115620120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 990, 194, 388, 280

1. What is the LCM of 473, 990, 194, 388, 280?

Answer: LCM of 473, 990, 194, 388, 280 is 115620120.

2. How to calculate the LCM of 473, 990, 194, 388, 280?

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, 990, 194, 388, 280.

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}.