Given numbers are 468,380,520,719

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

The LCM of 468,380,520,719 is 63933480.

Find LCM of 468,380,520,719 with Prime Factorization

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

2 x 2 x 5 x 13 x 9 x 19 x 2 x 719 = 63933480

Therefore, the lowest common multiple of 468,380,520,719 is 63933480.

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.

468 x 380 x 520 x 719 = 66490819200

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,380,520,719, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

380:2x 2x 5x 19

520:2x 2x 2x 5x 13

719:719

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 5x 13 = 1040

Therefore, the value for common factors is 1040.

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 = 66490819200/(1x1040)

LCM = 66490819200/1040

LCM = 63933480

Thus, we can understand that the LCM of 468,380,520,719 is 63933480.

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

• LCM of 939, 755, 113, 924
• LCM of 416, 454, 833, 992
• LCM of 849, 404, 131, 500
• LCM of 500, 490, 387, 268
• LCM of 342, 692, 112, 559

1. What is the LCM of 468, 380, 520, 719?

Answer: LCM of 468, 380, 520, 719 is 63933480.

2. How to calculate the LCM of 468, 380, 520, 719?

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 468, 380, 520, 719.

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}.