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LCM of 645, 598, 801, 506, 857

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


Find the LCM of 645, 598, 801, 506, 857 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 645, 598, 801, 506, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 645,598,801,506,857

Given numbers are 645,598,801,506,857

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

The LCM of 645,598,801,506,857 is 970835541390.

Find LCM of 645,598,801,506,857 with Prime Factorization


2 645, 598, 801, 506, 857
3 645, 299, 801, 253, 857
23 215, 299, 267, 253, 857
215, 13, 267, 11, 857

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

2 x 3 x 23 x 215 x 13 x 267 x 11 x 857 = 970835541390

Therefore, the lowest common multiple of 645,598,801,506,857 is 970835541390.

LCM Formula to Find Lowest Common Multiple of 645,598,801,506,857

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.

645 x 598 x 801 x 506 x 857 = 133975304711820

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.

645 : 1, 3, 5, 15, 43, 129, 215, 645

598 : 1, 2, 13, 23, 26, 46, 299, 598

801 : 1, 3, 9, 89, 267, 801

506 : 1, 2, 11, 22, 23, 46, 253, 506

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,598,801,506,857, is 1.

Now, the common factors can be found like this.

645:3x 5x 43

598:2x 13x 23

801:3x 3x 89

506:2x 11x 23

857:857

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 133975304711820/(1x138)

LCM = 133975304711820/138

LCM = 970835541390

Thus, we can understand that the LCM of 645,598,801,506,857 is 970835541390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 645, 598, 801, 506, 857

1. What is the LCM of 645, 598, 801, 506, 857?

Answer: LCM of 645, 598, 801, 506, 857 is 970835541390.

2. How to calculate the LCM of 645, 598, 801, 506, 857?

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 645, 598, 801, 506, 857.

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}.