Given numbers are 690,465,460,272,461

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

The LCM of 690,465,460,272,461 is 1341067440.

Find LCM of 690,465,460,272,461 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 1 x 31 x 1 x 68 x 461 = 1341067440

Therefore, the lowest common multiple of 690,465,460,272,461 is 1341067440.

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.

690 x 465 x 460 x 272 x 461 = 18506730672000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

465 : 1, 3, 5, 15, 31, 93, 155, 465

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,465,460,272,461, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

465:3x 5x 31

460:2x 2x 5x 23

272:2x 2x 2x 2x 17

461:461

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 3x 5x 5x 23 = 13800

Therefore, the value for common factors is 13800.

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 = 18506730672000/(1x13800)

LCM = 18506730672000/13800

LCM = 1341067440

Thus, we can understand that the LCM of 690,465,460,272,461 is 1341067440.

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

• LCM of 544, 805, 409, 321, 608
• LCM of 793, 392, 891, 264, 907
• LCM of 728, 820, 992, 122, 559
• LCM of 889, 436, 765, 656, 151
• LCM of 977, 372, 885, 966, 469

1. What is the LCM of 690, 465, 460, 272, 461?

Answer: LCM of 690, 465, 460, 272, 461 is 1341067440.

2. How to calculate the LCM of 690, 465, 460, 272, 461?

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 690, 465, 460, 272, 461.

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}.