Given numbers are 419,812,532,420

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

The LCM of 419,812,532,420 is 96964980.

Find LCM of 419,812,532,420 with Prime Factorization

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

2 x 2 x 7 x 419 x 29 x 19 x 15 = 96964980

Therefore, the lowest common multiple of 419,812,532,420 is 96964980.

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.

419 x 812 x 532 x 420 = 76020544320

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.

419 : 1, 419

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 419,812,532,420, is 1.

Now, the common factors can be found like this.

419:419

812:2x 2x 7x 29

532:2x 2x 7x 19

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 76020544320/(1x784)

LCM = 76020544320/784

LCM = 96964980

Thus, we can understand that the LCM of 419,812,532,420 is 96964980.

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

• LCM of 690, 500, 861, 650
• LCM of 439, 932, 334, 576
• LCM of 131, 303, 216, 311
• LCM of 408, 145, 866, 978
• LCM of 159, 998, 209, 604

1. What is the LCM of 419, 812, 532, 420?

Answer: LCM of 419, 812, 532, 420 is 96964980.

2. How to calculate the LCM of 419, 812, 532, 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 419, 812, 532, 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}.