Given numbers are 334,528,359,596,420

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

The LCM of 334,528,359,596,420 is 165081784560.

Find LCM of 334,528,359,596,420 with Prime Factorization

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

2 x 2 x 3 x 167 x 44 x 359 x 149 x 35 = 165081784560

Therefore, the lowest common multiple of 334,528,359,596,420 is 165081784560.

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.

334 x 528 x 359 x 596 x 420 = 15847851317760

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.

334 : 1, 2, 167, 334

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

359 : 1, 359

596 : 1, 2, 4, 149, 298, 596

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 334,528,359,596,420, is 1.

Now, the common factors can be found like this.

334:2x 167

528:2x 2x 2x 2x 3x 11

359:359

596:2x 2x 149

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 15847851317760/(1x96)

LCM = 15847851317760/96

LCM = 165081784560

Thus, we can understand that the LCM of 334,528,359,596,420 is 165081784560.

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

• LCM of 789, 980, 246, 734, 663
• LCM of 982, 365, 495, 870, 494
• LCM of 314, 687, 207, 872, 658
• LCM of 751, 853, 926, 833, 400
• LCM of 572, 228, 405, 392, 228

1. What is the LCM of 334, 528, 359, 596, 420?

Answer: LCM of 334, 528, 359, 596, 420 is 165081784560.

2. How to calculate the LCM of 334, 528, 359, 596, 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 334, 528, 359, 596, 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}.