Given numbers are 416,241,391,964,420

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

The LCM of 416,241,391,964,420 is 4116010080.

Find LCM of 416,241,391,964,420 with Prime Factorization

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

2 x 2 x 241 x 104 x 1 x 391 x 1 x 105 = 4116010080

Therefore, the lowest common multiple of 416,241,391,964,420 is 4116010080.

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.

416 x 241 x 391 x 964 x 420 = 15871334868480

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

241 : 1, 241

391 : 1, 17, 23, 391

964 : 1, 2, 4, 241, 482, 964

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,241,391,964,420, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

241:241

391:17x 23

964:2x 2x 241

420:2x 2x 3x 5x 7

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 241 = 3856

Therefore, the value for common factors is 3856.

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 = 15871334868480/(1x3856)

LCM = 15871334868480/3856

LCM = 4116010080

Thus, we can understand that the LCM of 416,241,391,964,420 is 4116010080.

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

• LCM of 326, 475, 883, 930, 236
• LCM of 391, 492, 144, 956, 477
• LCM of 640, 993, 249, 631, 483
• LCM of 663, 793, 967, 506, 913
• LCM of 540, 329, 933, 612, 162

1. What is the LCM of 416, 241, 391, 964, 420?

Answer: LCM of 416, 241, 391, 964, 420 is 4116010080.

2. How to calculate the LCM of 416, 241, 391, 964, 420?

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 416, 241, 391, 964, 420.

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}.