Given numbers are 524,720,920,430,842

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

The LCM of 524,720,920,430,842 is 39271924080.

Find LCM of 524,720,920,430,842 with Prime Factorization

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

2 x 2 x 2 x 5 x 131 x 18 x 23 x 43 x 421 = 39271924080

Therefore, the lowest common multiple of 524,720,920,430,842 is 39271924080.

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 720 x 920 x 430 x 842 = 125670157056000

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

430 : 1, 2, 5, 10, 43, 86, 215, 430

842 : 1, 2, 421, 842

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,720,920,430,842, is 2.

Now, the common factors can be found like this.

524:2x 2x 131

720:2x 2x 2x 2x 3x 3x 5

920:2x 2x 2x 5x 23

430:2x 5x 43

842:2x 421

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 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 125670157056000/(2x1600)

LCM = 125670157056000/3200

LCM = 39271924080

Thus, we can understand that the LCM of 524,720,920,430,842 is 39271924080.

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

• LCM of 244, 621, 890, 553, 987
• LCM of 765, 551, 849, 300, 540
• LCM of 816, 983, 311, 364, 179
• LCM of 376, 742, 461, 615, 584
• LCM of 871, 412, 854, 117, 539

1. What is the LCM of 524, 720, 920, 430, 842?

Answer: LCM of 524, 720, 920, 430, 842 is 39271924080.

2. How to calculate the LCM of 524, 720, 920, 430, 842?

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, 720, 920, 430, 842.

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}.