Given numbers are 420,422,467,590

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

The LCM of 420,422,467,590 is 2441746860.

Find LCM of 420,422,467,590 with Prime Factorization

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

2 x 5 x 42 x 211 x 467 x 59 = 2441746860

Therefore, the lowest common multiple of 420,422,467,590 is 2441746860.

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 422 x 467 x 590 = 48834937200

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

422 : 1, 2, 211, 422

467 : 1, 467

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,422,467,590, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

422:2x 211

467:467

590:2x 5x 59

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 5 = 20

Therefore, the value for common factors is 20.

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 = 48834937200/(1x20)

LCM = 48834937200/20

LCM = 2441746860

Thus, we can understand that the LCM of 420,422,467,590 is 2441746860.

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

• LCM of 874, 891, 265, 257
• LCM of 523, 860, 947, 954
• LCM of 660, 637, 969, 893
• LCM of 650, 763, 619, 525
• LCM of 897, 220, 345, 878

1. What is the LCM of 420, 422, 467, 590?

Answer: LCM of 420, 422, 467, 590 is 2441746860.

2. How to calculate the LCM of 420, 422, 467, 590?

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, 422, 467, 590.

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}.