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LCM of 785, 398, 617, 452, 213

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


Find the LCM of 785, 398, 617, 452, 213 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 785, 398, 617, 452, 213. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 785,398,617,452,213

Given numbers are 785,398,617,452,213

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

The LCM of 785,398,617,452,213 is 9279529044780.

Find LCM of 785,398,617,452,213 with Prime Factorization


2 785, 398, 617, 452, 213
785, 199, 617, 226, 213

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

2 x 785 x 199 x 617 x 226 x 213 = 9279529044780

Therefore, the lowest common multiple of 785,398,617,452,213 is 9279529044780.

LCM Formula to Find Lowest Common Multiple of 785,398,617,452,213

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.

785 x 398 x 617 x 452 x 213 = 18559058089560

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.

785 : 1, 5, 157, 785

398 : 1, 2, 199, 398

617 : 1, 617

452 : 1, 2, 4, 113, 226, 452

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,398,617,452,213, is 1.

Now, the common factors can be found like this.

785:5x 157

398:2x 199

617:617

452:2x 2x 113

213:3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 18559058089560/(1x2)

LCM = 18559058089560/2

LCM = 9279529044780

Thus, we can understand that the LCM of 785,398,617,452,213 is 9279529044780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 785, 398, 617, 452, 213

1. What is the LCM of 785, 398, 617, 452, 213?

Answer: LCM of 785, 398, 617, 452, 213 is 9279529044780.

2. How to calculate the LCM of 785, 398, 617, 452, 213?

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 785, 398, 617, 452, 213.

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}.