Given numbers are 420,436,172,283

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

The LCM of 420,436,172,283 is 557096820.

Find LCM of 420,436,172,283 with Prime Factorization

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

2 x 2 x 105 x 109 x 43 x 283 = 557096820

Therefore, the lowest common multiple of 420,436,172,283 is 557096820.

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 436 x 172 x 283 = 8913549120

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

436 : 1, 2, 4, 109, 218, 436

172 : 1, 2, 4, 43, 86, 172

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,436,172,283, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

436:2x 2x 109

172:2x 2x 43

283:283

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8913549120/(1x16)

LCM = 8913549120/16

LCM = 557096820

Thus, we can understand that the LCM of 420,436,172,283 is 557096820.

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

• LCM of 480, 917, 210, 683
• LCM of 749, 976, 422, 816
• LCM of 796, 766, 550, 714
• LCM of 157, 837, 725, 134
• LCM of 226, 613, 375, 317

1. What is the LCM of 420, 436, 172, 283?

Answer: LCM of 420, 436, 172, 283 is 557096820.

2. How to calculate the LCM of 420, 436, 172, 283?

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, 436, 172, 283.

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}.