LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 765, 900, 888

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


Find the LCM of 765, 900, 888 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 765, 900, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,900,888

Given numbers are 765,900,888

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

The LCM of 765,900,888 is 1132200.

Find LCM of 765,900,888 with Prime Factorization


2 765, 900, 888
2 765, 450, 444
3 765, 225, 222
3 255, 75, 74
5 85, 25, 74
17, 5, 74

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

2 x 2 x 3 x 3 x 5 x 17 x 5 x 74 = 1132200

Therefore, the lowest common multiple of 765,900,888 is 1132200.

LCM Formula to Find Lowest Common Multiple of 765,900,888

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.

765 x 900 x 888 = 611388000

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.

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,900,888, is 3.

Now, the common factors can be found like this.

765:3x 3x 5x 17

900:2x 2x 3x 3x 5x 5

888:2x 2x 2x 3x 37

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 611388000/(3x180)

LCM = 611388000/540

LCM = 1132200

Thus, we can understand that the LCM of 765,900,888 is 1132200.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 765, 900, 888

1. What is the LCM of 765, 900, 888?

Answer: LCM of 765, 900, 888 is 1132200.

2. How to calculate the LCM of 765, 900, 888?

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 765, 900, 888.

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}.