Given numbers are 601,718,990,290,460

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

The LCM of 601,718,990,290,460 is 284944280940.

Find LCM of 601,718,990,290,460 with Prime Factorization

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

2 x 5 x 601 x 359 x 99 x 29 x 46 = 284944280940

Therefore, the lowest common multiple of 601,718,990,290,460 is 284944280940.

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.

601 x 718 x 990 x 290 x 460 = 56988856188000

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.

601 : 1, 601

718 : 1, 2, 359, 718

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,718,990,290,460, is 1.

Now, the common factors can be found like this.

601:601

718:2x 359

990:2x 3x 3x 5x 11

290:2x 5x 29

460:2x 2x 5x 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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 56988856188000/(1x200)

LCM = 56988856188000/200

LCM = 284944280940

Thus, we can understand that the LCM of 601,718,990,290,460 is 284944280940.

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

• LCM of 281, 952, 810, 349, 189
• LCM of 465, 662, 198, 802, 506
• LCM of 974, 557, 314, 248, 188
• LCM of 729, 418, 608, 131, 521
• LCM of 467, 913, 458, 620, 128

1. What is the LCM of 601, 718, 990, 290, 460?

Answer: LCM of 601, 718, 990, 290, 460 is 284944280940.

2. How to calculate the LCM of 601, 718, 990, 290, 460?

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 601, 718, 990, 290, 460.

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}.