Given numbers are 157,770,380,416,825

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

The LCM of 157,770,380,416,825 is 7166359200.

Find LCM of 157,770,380,416,825 with Prime Factorization

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

2 x 2 x 5 x 11 x 157 x 7 x 19 x 104 x 15 = 7166359200

Therefore, the lowest common multiple of 157,770,380,416,825 is 7166359200.

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.

157 x 770 x 380 x 416 x 825 = 15765990240000

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.

157 : 1, 157

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,770,380,416,825, is 1.

Now, the common factors can be found like this.

157:157

770:2x 5x 7x 11

380:2x 2x 5x 19

416:2x 2x 2x 2x 2x 13

825:3x 5x 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 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 15765990240000/(1x2200)

LCM = 15765990240000/2200

LCM = 7166359200

Thus, we can understand that the LCM of 157,770,380,416,825 is 7166359200.

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

• LCM of 262, 355, 640, 645, 977
• LCM of 715, 106, 677, 633, 319
• LCM of 234, 793, 731, 275, 612
• LCM of 871, 907, 194, 670, 205
• LCM of 533, 910, 808, 797, 620

1. What is the LCM of 157, 770, 380, 416, 825?

Answer: LCM of 157, 770, 380, 416, 825 is 7166359200.

2. How to calculate the LCM of 157, 770, 380, 416, 825?

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 157, 770, 380, 416, 825.

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}.