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LCM of 386, 767, 817, 764, 147

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


Find the LCM of 386, 767, 817, 764, 147 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 386, 767, 817, 764, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,767,817,764,147

Given numbers are 386,767,817,764,147

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

The LCM of 386,767,817,764,147 is 13582678552716.

Find LCM of 386,767,817,764,147 with Prime Factorization


2 386, 767, 817, 764, 147
193, 767, 817, 382, 147

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

2 x 193 x 767 x 817 x 382 x 147 = 13582678552716

Therefore, the lowest common multiple of 386,767,817,764,147 is 13582678552716.

LCM Formula to Find Lowest Common Multiple of 386,767,817,764,147

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.

386 x 767 x 817 x 764 x 147 = 27165357105432

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.

386 : 1, 2, 193, 386

767 : 1, 13, 59, 767

817 : 1, 19, 43, 817

764 : 1, 2, 4, 191, 382, 764

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,767,817,764,147, is 1.

Now, the common factors can be found like this.

386:2x 193

767:13x 59

817:19x 43

764:2x 2x 191

147:3x 7x 7

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 = 27165357105432/(1x2)

LCM = 27165357105432/2

LCM = 13582678552716

Thus, we can understand that the LCM of 386,767,817,764,147 is 13582678552716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 767, 817, 764, 147

1. What is the LCM of 386, 767, 817, 764, 147?

Answer: LCM of 386, 767, 817, 764, 147 is 13582678552716.

2. How to calculate the LCM of 386, 767, 817, 764, 147?

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 386, 767, 817, 764, 147.

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}.