Given numbers are 593,427,268,220,972

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

The LCM of 593,427,268,220,972 is 906956224020.

Find LCM of 593,427,268,220,972 with Prime Factorization

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

2 x 2 x 593 x 427 x 67 x 55 x 243 = 906956224020

Therefore, the lowest common multiple of 593,427,268,220,972 is 906956224020.

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.

593 x 427 x 268 x 220 x 972 = 14511299584320

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.

593 : 1, 593

427 : 1, 7, 61, 427

268 : 1, 2, 4, 67, 134, 268

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 593,427,268,220,972, is 1.

Now, the common factors can be found like this.

593:593

427:7x 61

268:2x 2x 67

220:2x 2x 5x 11

972:2x 2x 3x 3x 3x 3x 3

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14511299584320/(1x16)

LCM = 14511299584320/16

LCM = 906956224020

Thus, we can understand that the LCM of 593,427,268,220,972 is 906956224020.

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

• LCM of 557, 770, 760, 115, 979
• LCM of 814, 512, 924, 802, 208
• LCM of 688, 449, 139, 316, 398
• LCM of 895, 641, 230, 490, 779
• LCM of 494, 543, 747, 699, 173

1. What is the LCM of 593, 427, 268, 220, 972?

Answer: LCM of 593, 427, 268, 220, 972 is 906956224020.

2. How to calculate the LCM of 593, 427, 268, 220, 972?

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 593, 427, 268, 220, 972.

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}.