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LCM of 851, 608, 676, 817, 201

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


Find the LCM of 851, 608, 676, 817, 201 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 851, 608, 676, 817, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 851,608,676,817,201

Given numbers are 851,608,676,817,201

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

The LCM of 851,608,676,817,201 is 755760791136.

Find LCM of 851,608,676,817,201 with Prime Factorization


2 851, 608, 676, 817, 201
2 851, 304, 338, 817, 201
19 851, 152, 169, 817, 201
851, 8, 169, 43, 201

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

2 x 2 x 19 x 851 x 8 x 169 x 43 x 201 = 755760791136

Therefore, the lowest common multiple of 851,608,676,817,201 is 755760791136.

LCM Formula to Find Lowest Common Multiple of 851,608,676,817,201

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.

851 x 608 x 676 x 817 x 201 = 57437820126336

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.

851 : 1, 23, 37, 851

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

817 : 1, 19, 43, 817

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,608,676,817,201, is 1.

Now, the common factors can be found like this.

851:23x 37

608:2x 2x 2x 2x 2x 19

676:2x 2x 13x 13

817:19x 43

201:3x 67

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 19 = 76

Therefore, the value for common factors is 76.

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 = 57437820126336/(1x76)

LCM = 57437820126336/76

LCM = 755760791136

Thus, we can understand that the LCM of 851,608,676,817,201 is 755760791136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 851, 608, 676, 817, 201

1. What is the LCM of 851, 608, 676, 817, 201?

Answer: LCM of 851, 608, 676, 817, 201 is 755760791136.

2. How to calculate the LCM of 851, 608, 676, 817, 201?

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 851, 608, 676, 817, 201.

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}.