Given numbers are 528,432,207,491,598

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

The LCM of 528,432,207,491,598 is 697636368.

Find LCM of 528,432,207,491,598 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 23 x 11 x 3 x 1 x 491 x 13 = 697636368

Therefore, the lowest common multiple of 528,432,207,491,598 is 697636368.

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.

528 x 432 x 207 x 491 x 598 = 13863429904896

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

207 : 1, 3, 9, 23, 69, 207

491 : 1, 491

598 : 1, 2, 13, 23, 26, 46, 299, 598

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,432,207,491,598, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

432:2x 2x 2x 2x 3x 3x 3

207:3x 3x 23

491:491

598:2x 13x 23

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 3x 3x 23 = 19872

Therefore, the value for common factors is 19872.

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 = 13863429904896/(1x19872)

LCM = 13863429904896/19872

LCM = 697636368

Thus, we can understand that the LCM of 528,432,207,491,598 is 697636368.

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

• LCM of 156, 992, 665, 907, 634
• LCM of 494, 375, 345, 137, 443
• LCM of 889, 467, 955, 158, 651
• LCM of 958, 525, 220, 244, 186
• LCM of 993, 582, 788, 401, 786

1. What is the LCM of 528, 432, 207, 491, 598?

Answer: LCM of 528, 432, 207, 491, 598 is 697636368.

2. How to calculate the LCM of 528, 432, 207, 491, 598?

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 528, 432, 207, 491, 598.

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}.