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 421, 321, 525, 288, 888

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


Find the LCM of 421, 321, 525, 288, 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 421, 321, 525, 288, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 421,321,525,288,888

Given numbers are 421,321,525,288,888

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

The LCM of 421,321,525,288,888 is 84003645600.

Find LCM of 421,321,525,288,888 with Prime Factorization


2 421, 321, 525, 288, 888
2 421, 321, 525, 144, 444
2 421, 321, 525, 72, 222
3 421, 321, 525, 36, 111
421, 107, 175, 12, 37

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

2 x 2 x 2 x 3 x 421 x 107 x 175 x 12 x 37 = 84003645600

Therefore, the lowest common multiple of 421,321,525,288,888 is 84003645600.

LCM Formula to Find Lowest Common Multiple of 421,321,525,288,888

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.

421 x 321 x 525 x 288 x 888 = 18144787449600

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.

421 : 1, 421

321 : 1, 3, 107, 321

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,321,525,288,888, is 1.

Now, the common factors can be found like this.

421:421

321:3x 107

525:3x 5x 5x 7

288:2x 2x 2x 2x 2x 3x 3

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 18144787449600/(1x216)

LCM = 18144787449600/216

LCM = 84003645600

Thus, we can understand that the LCM of 421,321,525,288,888 is 84003645600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 421, 321, 525, 288, 888

1. What is the LCM of 421, 321, 525, 288, 888?

Answer: LCM of 421, 321, 525, 288, 888 is 84003645600.

2. How to calculate the LCM of 421, 321, 525, 288, 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 421, 321, 525, 288, 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}.