Given numbers are 420,289,528,786,396

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

The LCM of 420,289,528,786,396 is 2098902960.

Find LCM of 420,289,528,786,396 with Prime Factorization

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

2 x 2 x 3 x 11 x 35 x 289 x 4 x 131 x 3 = 2098902960

Therefore, the lowest common multiple of 420,289,528,786,396 is 2098902960.

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 289 x 528 x 786 x 396 = 19947973731840

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

289 : 1, 17, 289

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,289,528,786,396, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

289:17x 17

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

786:2x 3x 131

396:2x 2x 3x 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 2x 2x 3x 3x 3x 11 = 9504

Therefore, the value for common factors is 9504.

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 = 19947973731840/(1x9504)

LCM = 19947973731840/9504

LCM = 2098902960

Thus, we can understand that the LCM of 420,289,528,786,396 is 2098902960.

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

• LCM of 621, 788, 748, 782, 638
• LCM of 858, 540, 726, 478, 322
• LCM of 779, 199, 264, 664, 921
• LCM of 659, 288, 481, 705, 311
• LCM of 806, 813, 975, 521, 583

1. What is the LCM of 420, 289, 528, 786, 396?

Answer: LCM of 420, 289, 528, 786, 396 is 2098902960.

2. How to calculate the LCM of 420, 289, 528, 786, 396?

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, 289, 528, 786, 396.

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}.