Given numbers are 785,440,475,870,938

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

The LCM of 785,440,475,870,938 is 267773767800.

Find LCM of 785,440,475,870,938 with Prime Factorization

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

2 x 5 x 157 x 44 x 95 x 87 x 469 = 267773767800

Therefore, the lowest common multiple of 785,440,475,870,938 is 267773767800.

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.

785 x 440 x 475 x 870 x 938 = 133886883900000

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.

785 : 1, 5, 157, 785

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

475 : 1, 5, 19, 25, 95, 475

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,440,475,870,938, is 1.

Now, the common factors can be found like this.

785:5x 157

440:2x 2x 2x 5x 11

475:5x 5x 19

870:2x 3x 5x 29

938:2x 7x 67

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 5 = 500

Therefore, the value for common factors is 500.

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 = 133886883900000/(1x500)

LCM = 133886883900000/500

LCM = 267773767800

Thus, we can understand that the LCM of 785,440,475,870,938 is 267773767800.

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

• LCM of 594, 738, 206, 825, 229
• LCM of 470, 133, 768, 219, 701
• LCM of 903, 998, 966, 306, 834
• LCM of 511, 516, 641, 171, 978
• LCM of 835, 626, 483, 428, 575

1. What is the LCM of 785, 440, 475, 870, 938?

Answer: LCM of 785, 440, 475, 870, 938 is 267773767800.

2. How to calculate the LCM of 785, 440, 475, 870, 938?

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 785, 440, 475, 870, 938.

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}.