Given numbers are 420,182,163,652,533

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

The LCM of 420,182,163,652,533 is 36489180.

Find LCM of 420,182,163,652,533 with Prime Factorization

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

2 x 2 x 7 x 13 x 163 x 15 x 1 x 1 x 1 x 41 = 36489180

Therefore, the lowest common multiple of 420,182,163,652,533 is 36489180.

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 182 x 163 x 652 x 533 = 4329952055520

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

163 : 1, 163

652 : 1, 2, 4, 163, 326, 652

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,182,163,652,533, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

182:2x 7x 13

163:163

652:2x 2x 163

533:13x 41

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 7x 13x 163 = 118664

Therefore, the value for common factors is 118664.

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 = 4329952055520/(1x118664)

LCM = 4329952055520/118664

LCM = 36489180

Thus, we can understand that the LCM of 420,182,163,652,533 is 36489180.

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

• LCM of 992, 310, 901, 594, 173
• LCM of 792, 299, 365, 460, 104
• LCM of 401, 872, 723, 271, 258
• LCM of 463, 809, 614, 345, 883
• LCM of 948, 214, 484, 870, 816

1. What is the LCM of 420, 182, 163, 652, 533?

Answer: LCM of 420, 182, 163, 652, 533 is 36489180.

2. How to calculate the LCM of 420, 182, 163, 652, 533?

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, 182, 163, 652, 533.

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}.