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 570, 432, 741, 905

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


Find the LCM of 570, 432, 741, 905 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 570, 432, 741, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,432,741,905

Given numbers are 570,432,741,905

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

The LCM of 570,432,741,905 is 96567120.

Find LCM of 570,432,741,905 with Prime Factorization


2 570, 432, 741, 905
3 285, 216, 741, 905
5 95, 72, 247, 905
19 19, 72, 247, 181
1, 72, 13, 181

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

2 x 3 x 5 x 19 x 1 x 72 x 13 x 181 = 96567120

Therefore, the lowest common multiple of 570,432,741,905 is 96567120.

LCM Formula to Find Lowest Common Multiple of 570,432,741,905

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.

570 x 432 x 741 x 905 = 165129775200

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

741 : 1, 3, 13, 19, 39, 57, 247, 741

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,432,741,905, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

432:2x 2x 2x 2x 3x 3x 3

741:3x 13x 19

905:5x 181

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 3x 5x 19 = 1710

Therefore, the value for common factors is 1710.

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 = 165129775200/(1x1710)

LCM = 165129775200/1710

LCM = 96567120

Thus, we can understand that the LCM of 570,432,741,905 is 96567120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 432, 741, 905

1. What is the LCM of 570, 432, 741, 905?

Answer: LCM of 570, 432, 741, 905 is 96567120.

2. How to calculate the LCM of 570, 432, 741, 905?

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 570, 432, 741, 905.

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}.