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LCM of 381, 795, 765, 300

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


Find the LCM of 381, 795, 765, 300 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 381, 795, 765, 300. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,795,765,300

Given numbers are 381,795,765,300

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

The LCM of 381,795,765,300 is 102984300.

Find LCM of 381,795,765,300 with Prime Factorization


3 381, 795, 765, 300
5 127, 265, 255, 100
127, 53, 51, 20

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

3 x 5 x 127 x 53 x 51 x 20 = 102984300

Therefore, the lowest common multiple of 381,795,765,300 is 102984300.

LCM Formula to Find Lowest Common Multiple of 381,795,765,300

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.

381 x 795 x 765 x 300 = 69514402500

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.

381 : 1, 3, 127, 381

795 : 1, 3, 5, 15, 53, 159, 265, 795

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

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,795,765,300, is 3.

Now, the common factors can be found like this.

381:3x 127

795:3x 5x 53

765:3x 3x 5x 17

300:2x 2x 3x 5x 5

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 69514402500/(3x225)

LCM = 69514402500/675

LCM = 102984300

Thus, we can understand that the LCM of 381,795,765,300 is 102984300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 795, 765, 300

1. What is the LCM of 381, 795, 765, 300?

Answer: LCM of 381, 795, 765, 300 is 102984300.

2. How to calculate the LCM of 381, 795, 765, 300?

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 381, 795, 765, 300.

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}.