Given numbers are 601,268,460,961

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

The LCM of 601,268,460,961 is 17800430020.

Find LCM of 601,268,460,961 with Prime Factorization

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

2 x 2 x 601 x 67 x 115 x 961 = 17800430020

Therefore, the lowest common multiple of 601,268,460,961 is 17800430020.

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 268 x 460 x 961 = 71201720080

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

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

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

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,268,460,961, is 1.

Now, the common factors can be found like this.

601:601

268:2x 2x 67

460:2x 2x 5x 23

961:31x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 71201720080/(1x4)

LCM = 71201720080/4

LCM = 17800430020

Thus, we can understand that the LCM of 601,268,460,961 is 17800430020.

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

• LCM of 495, 418, 877, 426
• LCM of 604, 794, 709, 352
• LCM of 271, 521, 315, 978
• LCM of 781, 115, 725, 113
• LCM of 834, 551, 323, 728

1. What is the LCM of 601, 268, 460, 961?

Answer: LCM of 601, 268, 460, 961 is 17800430020.

2. How to calculate the LCM of 601, 268, 460, 961?

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, 268, 460, 961.

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}.