Given numbers are 460,528,564,897,273

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

The LCM of 460,528,564,897,273 is 259699440.

Find LCM of 460,528,564,897,273 with Prime Factorization

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

2 x 2 x 3 x 13 x 23 x 5 x 44 x 47 x 1 x 7 = 259699440

Therefore, the lowest common multiple of 460,528,564,897,273 is 259699440.

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.

460 x 528 x 564 x 897 x 273 = 33544857265920

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

897 : 1, 3, 13, 23, 39, 69, 299, 897

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,528,564,897,273, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

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

564:2x 2x 3x 47

897:3x 13x 23

273:3x 7x 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 2x 2x 3x 3x 3x 13x 23 = 129168

Therefore, the value for common factors is 129168.

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 = 33544857265920/(1x129168)

LCM = 33544857265920/129168

LCM = 259699440

Thus, we can understand that the LCM of 460,528,564,897,273 is 259699440.

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

• LCM of 262, 213, 334, 894, 794
• LCM of 531, 791, 927, 696, 375
• LCM of 520, 329, 526, 713, 202
• LCM of 853, 339, 386, 337, 468
• LCM of 310, 557, 634, 507, 909

1. What is the LCM of 460, 528, 564, 897, 273?

Answer: LCM of 460, 528, 564, 897, 273 is 259699440.

2. How to calculate the LCM of 460, 528, 564, 897, 273?

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 460, 528, 564, 897, 273.

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}.