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LCM of 158, 187, 764, 483, 765

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


Find the LCM of 158, 187, 764, 483, 765 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 158, 187, 764, 483, 765. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 158,187,764,483,765

Given numbers are 158,187,764,483,765

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

The LCM of 158,187,764,483,765 is 81771214140.

Find LCM of 158,187,764,483,765 with Prime Factorization


2 158, 187, 764, 483, 765
3 79, 187, 382, 483, 765
17 79, 187, 382, 161, 255
79, 11, 382, 161, 15

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

2 x 3 x 17 x 79 x 11 x 382 x 161 x 15 = 81771214140

Therefore, the lowest common multiple of 158,187,764,483,765 is 81771214140.

LCM Formula to Find Lowest Common Multiple of 158,187,764,483,765

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.

158 x 187 x 764 x 483 x 765 = 8340663842280

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.

158 : 1, 2, 79, 158

187 : 1, 11, 17, 187

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,187,764,483,765, is 1.

Now, the common factors can be found like this.

158:2x 79

187:11x 17

764:2x 2x 191

483:3x 7x 23

765:3x 3x 5x 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 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 8340663842280/(1x102)

LCM = 8340663842280/102

LCM = 81771214140

Thus, we can understand that the LCM of 158,187,764,483,765 is 81771214140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 158, 187, 764, 483, 765

1. What is the LCM of 158, 187, 764, 483, 765?

Answer: LCM of 158, 187, 764, 483, 765 is 81771214140.

2. How to calculate the LCM of 158, 187, 764, 483, 765?

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 158, 187, 764, 483, 765.

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}.