Given numbers are 420,466,132,347,936

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

The LCM of 420,466,132,347,936 is 29135466360.

Find LCM of 420,466,132,347,936 with Prime Factorization

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

2 x 2 x 3 x 35 x 233 x 11 x 347 x 78 = 29135466360

Therefore, the lowest common multiple of 420,466,132,347,936 is 29135466360.

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.

420 x 466 x 132 x 347 x 936 = 8391014311680

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.

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

466 : 1, 2, 233, 466

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

347 : 1, 347

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,466,132,347,936, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

466:2x 233

132:2x 2x 3x 11

347:347

936:2x 2x 2x 3x 3x 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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 8391014311680/(1x288)

LCM = 8391014311680/288

LCM = 29135466360

Thus, we can understand that the LCM of 420,466,132,347,936 is 29135466360.

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

• LCM of 149, 166, 409, 639, 602
• LCM of 336, 163, 297, 696, 332
• LCM of 684, 260, 290, 968, 293
• LCM of 765, 661, 974, 542, 795
• LCM of 187, 545, 273, 998, 333

1. What is the LCM of 420, 466, 132, 347, 936?

Answer: LCM of 420, 466, 132, 347, 936 is 29135466360.

2. How to calculate the LCM of 420, 466, 132, 347, 936?

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 420, 466, 132, 347, 936.

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}.