Given numbers are 649,270,560,440

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

The LCM of 649,270,560,440 is 9812880.

Find LCM of 649,270,560,440 with Prime Factorization

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

2 x 2 x 2 x 5 x 11 x 59 x 27 x 14 x 1 = 9812880

Therefore, the lowest common multiple of 649,270,560,440 is 9812880.

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.

649 x 270 x 560 x 440 = 43176672000

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.

649 : 1, 11, 59, 649

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,270,560,440, is 1.

Now, the common factors can be found like this.

649:11x 59

270:2x 3x 3x 3x 5

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

440:2x 2x 2x 5x 11

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 5x 11 = 4400

Therefore, the value for common factors is 4400.

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 = 43176672000/(1x4400)

LCM = 43176672000/4400

LCM = 9812880

Thus, we can understand that the LCM of 649,270,560,440 is 9812880.

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

• LCM of 557, 549, 889, 829
• LCM of 700, 632, 879, 927
• LCM of 398, 743, 565, 255
• LCM of 142, 720, 466, 544
• LCM of 120, 701, 568, 505

1. What is the LCM of 649, 270, 560, 440?

Answer: LCM of 649, 270, 560, 440 is 9812880.

2. How to calculate the LCM of 649, 270, 560, 440?

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 649, 270, 560, 440.

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}.