Given numbers are 741,680,780,589

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

The LCM of 741,680,780,589 is 15620280.

Find LCM of 741,680,780,589 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 19 x 1 x 34 x 1 x 31 = 15620280

Therefore, the lowest common multiple of 741,680,780,589 is 15620280.

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.

741 x 680 x 780 x 589 = 231492549600

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,680,780,589, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

680:2x 2x 2x 5x 17

780:2x 2x 3x 5x 13

589:19x 31

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 3x 5x 13x 19 = 14820

Therefore, the value for common factors is 14820.

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 = 231492549600/(1x14820)

LCM = 231492549600/14820

LCM = 15620280

Thus, we can understand that the LCM of 741,680,780,589 is 15620280.

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

• LCM of 606, 183, 670, 992
• LCM of 279, 396, 127, 600
• LCM of 522, 543, 430, 981
• LCM of 333, 304, 849, 853
• LCM of 106, 560, 974, 422

1. What is the LCM of 741, 680, 780, 589?

Answer: LCM of 741, 680, 780, 589 is 15620280.

2. How to calculate the LCM of 741, 680, 780, 589?

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 741, 680, 780, 589.

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}.