Given numbers are 380,812,214,720,140

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

The LCM of 380,812,214,720,140 is 297143280.

Find LCM of 380,812,214,720,140 with Prime Factorization

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

2 x 2 x 5 x 7 x 19 x 29 x 107 x 36 x 1 = 297143280

Therefore, the lowest common multiple of 380,812,214,720,140 is 297143280.

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.

380 x 812 x 214 x 720 x 140 = 6656009472000

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

214 : 1, 2, 107, 214

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,812,214,720,140, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

812:2x 2x 7x 29

214:2x 107

720:2x 2x 2x 2x 3x 3x 5

140:2x 2x 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 = 6656009472000/(2x11200)

LCM = 6656009472000/22400

LCM = 297143280

Thus, we can understand that the LCM of 380,812,214,720,140 is 297143280.

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

• LCM of 751, 567, 578, 742, 304
• LCM of 863, 559, 171, 877, 750
• LCM of 945, 101, 917, 209, 805
• LCM of 205, 312, 997, 424, 355
• LCM of 833, 128, 807, 360, 793

1. What is the LCM of 380, 812, 214, 720, 140?

Answer: LCM of 380, 812, 214, 720, 140 is 297143280.

2. How to calculate the LCM of 380, 812, 214, 720, 140?

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 380, 812, 214, 720, 140.

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}.