Given numbers are 440,375,113,814,770

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

The LCM of 440,375,113,814,770 is 965811000.

Find LCM of 440,375,113,814,770 with Prime Factorization

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

2 x 5 x 11 x 4 x 75 x 113 x 37 x 7 = 965811000

Therefore, the lowest common multiple of 440,375,113,814,770 is 965811000.

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.

440 x 375 x 113 x 814 x 770 = 11686313100000

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.

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

113 : 1, 113

814 : 1, 2, 11, 22, 37, 74, 407, 814

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,375,113,814,770, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

375:3x 5x 5x 5

113:113

814:2x 11x 37

770:2x 5x 7x 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 5x 5x 11x 11 = 12100

Therefore, the value for common factors is 12100.

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 = 11686313100000/(1x12100)

LCM = 11686313100000/12100

LCM = 965811000

Thus, we can understand that the LCM of 440,375,113,814,770 is 965811000.

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

• LCM of 111, 425, 968, 741, 282
• LCM of 176, 351, 912, 294, 926
• LCM of 583, 822, 822, 710, 144
• LCM of 828, 736, 607, 993, 164
• LCM of 835, 313, 791, 749, 379

1. What is the LCM of 440, 375, 113, 814, 770?

Answer: LCM of 440, 375, 113, 814, 770 is 965811000.

2. How to calculate the LCM of 440, 375, 113, 814, 770?

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 440, 375, 113, 814, 770.

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}.