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LCM of 808, 262, 151, 677

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


Find the LCM of 808, 262, 151, 677 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 808, 262, 151, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,262,151,677

Given numbers are 808,262,151,677

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

The LCM of 808,262,151,677 is 10820523496.

Find LCM of 808,262,151,677 with Prime Factorization


2 808, 262, 151, 677
404, 131, 151, 677

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

2 x 404 x 131 x 151 x 677 = 10820523496

Therefore, the lowest common multiple of 808,262,151,677 is 10820523496.

LCM Formula to Find Lowest Common Multiple of 808,262,151,677

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.

808 x 262 x 151 x 677 = 21641046992

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

262 : 1, 2, 131, 262

151 : 1, 151

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,262,151,677, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

262:2x 131

151:151

677:677

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 = 21641046992/(1x2)

LCM = 21641046992/2

LCM = 10820523496

Thus, we can understand that the LCM of 808,262,151,677 is 10820523496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 262, 151, 677

1. What is the LCM of 808, 262, 151, 677?

Answer: LCM of 808, 262, 151, 677 is 10820523496.

2. How to calculate the LCM of 808, 262, 151, 677?

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 808, 262, 151, 677.

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}.