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LCM of 830, 776, 580, 814, 225

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


Find the LCM of 830, 776, 580, 814, 225 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 830, 776, 580, 814, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,776,580,814,225

Given numbers are 830,776,580,814,225

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

The LCM of 830,776,580,814,225 is 171046715400.

Find LCM of 830,776,580,814,225 with Prime Factorization


2 830, 776, 580, 814, 225
2 415, 388, 290, 407, 225
5 415, 194, 145, 407, 225
83, 194, 29, 407, 45

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

2 x 2 x 5 x 83 x 194 x 29 x 407 x 45 = 171046715400

Therefore, the lowest common multiple of 830,776,580,814,225 is 171046715400.

LCM Formula to Find Lowest Common Multiple of 830,776,580,814,225

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.

830 x 776 x 580 x 814 x 225 = 68418686160000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

776 : 1, 2, 4, 8, 97, 194, 388, 776

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

814 : 1, 2, 11, 22, 37, 74, 407, 814

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,776,580,814,225, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

776:2x 2x 2x 97

580:2x 2x 5x 29

814:2x 11x 37

225:3x 3x 5x 5

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 5 = 400

Therefore, the value for common factors is 400.

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 = 68418686160000/(1x400)

LCM = 68418686160000/400

LCM = 171046715400

Thus, we can understand that the LCM of 830,776,580,814,225 is 171046715400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 776, 580, 814, 225

1. What is the LCM of 830, 776, 580, 814, 225?

Answer: LCM of 830, 776, 580, 814, 225 is 171046715400.

2. How to calculate the LCM of 830, 776, 580, 814, 225?

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 830, 776, 580, 814, 225.

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}.