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LCM of 808, 959, 959, 374

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


Find the LCM of 808, 959, 959, 374 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, 959, 959, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,959,959,374

Given numbers are 808,959,959,374

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

The LCM of 808,959,959,374 is 144901064.

Find LCM of 808,959,959,374 with Prime Factorization


2 808, 959, 959, 374
7 404, 959, 959, 187
137 404, 137, 137, 187
404, 1, 1, 187

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

2 x 7 x 137 x 404 x 1 x 1 x 187 = 144901064

Therefore, the lowest common multiple of 808,959,959,374 is 144901064.

LCM Formula to Find Lowest Common Multiple of 808,959,959,374

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 959 x 959 x 374 = 277920240752

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

959 : 1, 7, 137, 959

959 : 1, 7, 137, 959

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,959,959,374, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

959:7x 137

959:7x 137

374:2x 11x 17

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

2x 7x 137 = 1918

Therefore, the value for common factors is 1918.

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 = 277920240752/(1x1918)

LCM = 277920240752/1918

LCM = 144901064

Thus, we can understand that the LCM of 808,959,959,374 is 144901064.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 959, 959, 374

1. What is the LCM of 808, 959, 959, 374?

Answer: LCM of 808, 959, 959, 374 is 144901064.

2. How to calculate the LCM of 808, 959, 959, 374?

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, 959, 959, 374.

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}.