Given numbers are 420,334,149,528

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

The LCM of 420,334,149,528 is 459837840.

Find LCM of 420,334,149,528 with Prime Factorization

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

2 x 2 x 3 x 35 x 167 x 149 x 44 = 459837840

Therefore, the lowest common multiple of 420,334,149,528 is 459837840.

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 334 x 149 x 528 = 11036108160

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

334 : 1, 2, 167, 334

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,334,149,528, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

334:2x 167

149:149

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

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11036108160/(1x24)

LCM = 11036108160/24

LCM = 459837840

Thus, we can understand that the LCM of 420,334,149,528 is 459837840.

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

• LCM of 374, 988, 638, 408
• LCM of 269, 332, 525, 236
• LCM of 923, 528, 596, 493
• LCM of 402, 596, 300, 572
• LCM of 595, 727, 561, 132

1. What is the LCM of 420, 334, 149, 528?

Answer: LCM of 420, 334, 149, 528 is 459837840.

2. How to calculate the LCM of 420, 334, 149, 528?

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, 334, 149, 528.

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}.