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LCM of 768, 818, 878, 371

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


Find the LCM of 768, 818, 878, 371 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 768, 818, 878, 371. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,818,878,371

Given numbers are 768,818,878,371

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

The LCM of 768,818,878,371 is 51159107328.

Find LCM of 768,818,878,371 with Prime Factorization


2 768, 818, 878, 371
384, 409, 439, 371

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

2 x 384 x 409 x 439 x 371 = 51159107328

Therefore, the lowest common multiple of 768,818,878,371 is 51159107328.

LCM Formula to Find Lowest Common Multiple of 768,818,878,371

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.

768 x 818 x 878 x 371 = 204636429312

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

818 : 1, 2, 409, 818

878 : 1, 2, 439, 878

371 : 1, 7, 53, 371

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,818,878,371, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

818:2x 409

878:2x 439

371:7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 204636429312/(1x4)

LCM = 204636429312/4

LCM = 51159107328

Thus, we can understand that the LCM of 768,818,878,371 is 51159107328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 818, 878, 371

1. What is the LCM of 768, 818, 878, 371?

Answer: LCM of 768, 818, 878, 371 is 51159107328.

2. How to calculate the LCM of 768, 818, 878, 371?

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 768, 818, 878, 371.

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}.