Given numbers are 345,487,638,420

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

The LCM of 345,487,638,420 is 1500709980.

Find LCM of 345,487,638,420 with Prime Factorization

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

2 x 3 x 5 x 23 x 487 x 319 x 14 = 1500709980

Therefore, the lowest common multiple of 345,487,638,420 is 1500709980.

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.

345 x 487 x 638 x 420 = 45021299400

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

487 : 1, 487

638 : 1, 2, 11, 22, 29, 58, 319, 638

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 345,487,638,420, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

487:487

638:2x 11x 29

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 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 45021299400/(1x30)

LCM = 45021299400/30

LCM = 1500709980

Thus, we can understand that the LCM of 345,487,638,420 is 1500709980.

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

• LCM of 982, 701, 921, 608
• LCM of 765, 997, 156, 618
• LCM of 945, 300, 958, 518
• LCM of 766, 432, 353, 611
• LCM of 595, 978, 208, 851

1. What is the LCM of 345, 487, 638, 420?

Answer: LCM of 345, 487, 638, 420 is 1500709980.

2. How to calculate the LCM of 345, 487, 638, 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 345, 487, 638, 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}.