Given numbers are 587,980,796,440,120

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

The LCM of 587,980,796,440,120 is 7555464840.

Find LCM of 587,980,796,440,120 with Prime Factorization

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

2 x 2 x 2 x 5 x 587 x 49 x 199 x 11 x 3 = 7555464840

Therefore, the lowest common multiple of 587,980,796,440,120 is 7555464840.

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.

587 x 980 x 796 x 440 x 120 = 24177487488000

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.

587 : 1, 587

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

796 : 1, 2, 4, 199, 398, 796

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,980,796,440,120, is 1.

Now, the common factors can be found like this.

587:587

980:2x 2x 5x 7x 7

796:2x 2x 199

440:2x 2x 2x 5x 11

120:2x 2x 2x 3x 5

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 2x 5x 5 = 3200

Therefore, the value for common factors is 3200.

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 = 24177487488000/(1x3200)

LCM = 24177487488000/3200

LCM = 7555464840

Thus, we can understand that the LCM of 587,980,796,440,120 is 7555464840.

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

• LCM of 274, 411, 673, 532, 282
• LCM of 640, 286, 643, 525, 566
• LCM of 961, 623, 505, 515, 866
• LCM of 114, 685, 386, 355, 404
• LCM of 820, 404, 737, 309, 910

1. What is the LCM of 587, 980, 796, 440, 120?

Answer: LCM of 587, 980, 796, 440, 120 is 7555464840.

2. How to calculate the LCM of 587, 980, 796, 440, 120?

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 587, 980, 796, 440, 120.

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}.