Given numbers are 390,560,277,680

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

The LCM of 390,560,277,680 is 102844560.

Find LCM of 390,560,277,680 with Prime Factorization

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

2 x 2 x 2 x 5 x 39 x 14 x 277 x 17 = 102844560

Therefore, the lowest common multiple of 390,560,277,680 is 102844560.

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.

390 x 560 x 277 x 680 = 41137824000

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

277 : 1, 277

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,560,277,680, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

560:2x 2x 2x 2x 5x 7

277:277

680:2x 2x 2x 5x 17

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 5 = 400

Therefore, the value for common factors is 400.

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 = 41137824000/(1x400)

LCM = 41137824000/400

LCM = 102844560

Thus, we can understand that the LCM of 390,560,277,680 is 102844560.

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

• LCM of 209, 982, 187, 317
• LCM of 812, 835, 648, 200
• LCM of 912, 748, 813, 233
• LCM of 881, 569, 566, 904
• LCM of 285, 870, 156, 931

1. What is the LCM of 390, 560, 277, 680?

Answer: LCM of 390, 560, 277, 680 is 102844560.

2. How to calculate the LCM of 390, 560, 277, 680?

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 390, 560, 277, 680.

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}.