Given numbers are 194,855,340,770,792

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

The LCM of 194,855,340,770,792 is 868495320.

Find LCM of 194,855,340,770,792 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 11 x 97 x 19 x 17 x 7 x 2 = 868495320

Therefore, the lowest common multiple of 194,855,340,770,792 is 868495320.

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.

194 x 855 x 340 x 770 x 792 = 34392414672000

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.

194 : 1, 2, 97, 194

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,855,340,770,792, is 1.

Now, the common factors can be found like this.

194:2x 97

855:3x 3x 5x 19

340:2x 2x 5x 17

770:2x 5x 7x 11

792:2x 2x 2x 3x 3x 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 3x 3x 5x 5x 11 = 39600

Therefore, the value for common factors is 39600.

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 = 34392414672000/(1x39600)

LCM = 34392414672000/39600

LCM = 868495320

Thus, we can understand that the LCM of 194,855,340,770,792 is 868495320.

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

• LCM of 475, 326, 436, 490, 342
• LCM of 545, 432, 962, 491, 135
• LCM of 435, 166, 994, 520, 389
• LCM of 483, 743, 517, 666, 432
• LCM of 513, 858, 752, 566, 147

1. What is the LCM of 194, 855, 340, 770, 792?

Answer: LCM of 194, 855, 340, 770, 792 is 868495320.

2. How to calculate the LCM of 194, 855, 340, 770, 792?

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 194, 855, 340, 770, 792.

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}.