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, 930, 965, 822

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


Find the LCM of 570, 930, 965, 822 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, 930, 965, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,930,965,822

Given numbers are 570,930,965,822

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

The LCM of 570,930,965,822 is 467212470.

Find LCM of 570,930,965,822 with Prime Factorization


2 570, 930, 965, 822
3 285, 465, 965, 411
5 95, 155, 965, 137
19, 31, 193, 137

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

2 x 3 x 5 x 19 x 31 x 193 x 137 = 467212470

Therefore, the lowest common multiple of 570,930,965,822 is 467212470.

LCM Formula to Find Lowest Common Multiple of 570,930,965,822

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 930 x 965 x 822 = 420491223000

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

965 : 1, 5, 193, 965

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,930,965,822, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

930:2x 3x 5x 31

965:5x 193

822:2x 3x 137

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 420491223000/(1x900)

LCM = 420491223000/900

LCM = 467212470

Thus, we can understand that the LCM of 570,930,965,822 is 467212470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 930, 965, 822

1. What is the LCM of 570, 930, 965, 822?

Answer: LCM of 570, 930, 965, 822 is 467212470.

2. How to calculate the LCM of 570, 930, 965, 822?

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, 930, 965, 822.

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}.