Given numbers are 590,122,560,975

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

The LCM of 590,122,560,975 is 393010800.

Find LCM of 590,122,560,975 with Prime Factorization

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

2 x 5 x 59 x 61 x 56 x 195 = 393010800

Therefore, the lowest common multiple of 590,122,560,975 is 393010800.

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.

590 x 122 x 560 x 975 = 39301080000

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

122 : 1, 2, 61, 122

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,122,560,975, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

122:2x 61

560:2x 2x 2x 2x 5x 7

975:3x 5x 5x 13

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 39301080000/(1x100)

LCM = 39301080000/100

LCM = 393010800

Thus, we can understand that the LCM of 590,122,560,975 is 393010800.

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

• LCM of 327, 623, 600, 743
• LCM of 978, 735, 701, 576
• LCM of 426, 816, 271, 468
• LCM of 670, 756, 598, 359
• LCM of 820, 165, 570, 373

1. What is the LCM of 590, 122, 560, 975?

Answer: LCM of 590, 122, 560, 975 is 393010800.

2. How to calculate the LCM of 590, 122, 560, 975?

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 590, 122, 560, 975.

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}.