Given numbers are 496,980,580,668,420

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

The LCM of 496,980,580,668,420 is 1765564080.

Find LCM of 496,980,580,668,420 with Prime Factorization

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

2 x 2 x 5 x 7 x 124 x 7 x 29 x 167 x 3 = 1765564080

Therefore, the lowest common multiple of 496,980,580,668,420 is 1765564080.

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.

496 x 980 x 580 x 668 x 420 = 79097270784000

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

668 : 1, 2, 4, 167, 334, 668

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,980,580,668,420, is 4.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

980:2x 2x 5x 7x 7

580:2x 2x 5x 29

668:2x 2x 167

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 2x 2x 5x 5x 7 = 11200

Therefore, the value for common factors is 11200.

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 = 79097270784000/(4x11200)

LCM = 79097270784000/44800

LCM = 1765564080

Thus, we can understand that the LCM of 496,980,580,668,420 is 1765564080.

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

• LCM of 407, 986, 778, 673, 107
• LCM of 308, 952, 473, 457, 622
• LCM of 381, 295, 218, 792, 983
• LCM of 181, 752, 713, 176, 104
• LCM of 333, 248, 917, 362, 364

1. What is the LCM of 496, 980, 580, 668, 420?

Answer: LCM of 496, 980, 580, 668, 420 is 1765564080.

2. How to calculate the LCM of 496, 980, 580, 668, 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 496, 980, 580, 668, 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}.