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LCM of 524, 389, 924, 700, 570

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


Find the LCM of 524, 389, 924, 700, 570 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 524, 389, 924, 700, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,389,924,700,570

Given numbers are 524,389,924,700,570

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

The LCM of 524,389,924,700,570 is 22365905100.

Find LCM of 524,389,924,700,570 with Prime Factorization


2 524, 389, 924, 700, 570
2 262, 389, 462, 350, 285
3 131, 389, 231, 175, 285
5 131, 389, 77, 175, 95
7 131, 389, 77, 35, 19
131, 389, 11, 5, 19

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

2 x 2 x 3 x 5 x 7 x 131 x 389 x 11 x 5 x 19 = 22365905100

Therefore, the lowest common multiple of 524,389,924,700,570 is 22365905100.

LCM Formula to Find Lowest Common Multiple of 524,389,924,700,570

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.

524 x 389 x 924 x 700 x 570 = 75149441136000

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.

524 : 1, 2, 4, 131, 262, 524

389 : 1, 389

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,389,924,700,570, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

389:389

924:2x 2x 3x 7x 11

700:2x 2x 5x 5x 7

570:2x 3x 5x 19

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 2x 2x 3x 5x 7 = 3360

Therefore, the value for common factors is 3360.

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 = 75149441136000/(1x3360)

LCM = 75149441136000/3360

LCM = 22365905100

Thus, we can understand that the LCM of 524,389,924,700,570 is 22365905100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 389, 924, 700, 570

1. What is the LCM of 524, 389, 924, 700, 570?

Answer: LCM of 524, 389, 924, 700, 570 is 22365905100.

2. How to calculate the LCM of 524, 389, 924, 700, 570?

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 524, 389, 924, 700, 570.

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}.