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LCM of 458, 329, 861, 820, 786

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


Find the LCM of 458, 329, 861, 820, 786 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 458, 329, 861, 820, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 458,329,861,820,786

Given numbers are 458,329,861,820,786

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

The LCM of 458,329,861,820,786 is 24279390660.

Find LCM of 458,329,861,820,786 with Prime Factorization


2 458, 329, 861, 820, 786
3 229, 329, 861, 410, 393
7 229, 329, 287, 410, 131
41 229, 47, 41, 410, 131
229, 47, 1, 10, 131

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

2 x 3 x 7 x 41 x 229 x 47 x 1 x 10 x 131 = 24279390660

Therefore, the lowest common multiple of 458,329,861,820,786 is 24279390660.

LCM Formula to Find Lowest Common Multiple of 458,329,861,820,786

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.

458 x 329 x 861 x 820 x 786 = 83618221433040

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.

458 : 1, 2, 229, 458

329 : 1, 7, 47, 329

861 : 1, 3, 7, 21, 41, 123, 287, 861

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,329,861,820,786, is 1.

Now, the common factors can be found like this.

458:2x 229

329:7x 47

861:3x 7x 41

820:2x 2x 5x 41

786:2x 3x 131

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 3x 7x 41 = 3444

Therefore, the value for common factors is 3444.

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 = 83618221433040/(1x3444)

LCM = 83618221433040/3444

LCM = 24279390660

Thus, we can understand that the LCM of 458,329,861,820,786 is 24279390660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 458, 329, 861, 820, 786

1. What is the LCM of 458, 329, 861, 820, 786?

Answer: LCM of 458, 329, 861, 820, 786 is 24279390660.

2. How to calculate the LCM of 458, 329, 861, 820, 786?

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 458, 329, 861, 820, 786.

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}.