Given numbers are 190,807,978,770,420

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

The LCM of 190,807,978,770,420 is 3848889660.

Find LCM of 190,807,978,770,420 with Prime Factorization

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

2 x 3 x 5 x 7 x 19 x 269 x 163 x 11 x 2 = 3848889660

Therefore, the lowest common multiple of 190,807,978,770,420 is 3848889660.

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.

190 x 807 x 978 x 770 x 420 = 48496009716000

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

807 : 1, 3, 269, 807

978 : 1, 2, 3, 6, 163, 326, 489, 978

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,807,978,770,420, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

807:3x 269

978:2x 3x 163

770:2x 5x 7x 11

420:2x 2x 3x 5x 7

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 3x 3x 5x 5x 7 = 12600

Therefore, the value for common factors is 12600.

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 = 48496009716000/(1x12600)

LCM = 48496009716000/12600

LCM = 3848889660

Thus, we can understand that the LCM of 190,807,978,770,420 is 3848889660.

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

• LCM of 200, 269, 882, 267, 512
• LCM of 816, 811, 105, 873, 353
• LCM of 627, 572, 426, 179, 595
• LCM of 151, 689, 711, 217, 140
• LCM of 364, 253, 787, 714, 320

1. What is the LCM of 190, 807, 978, 770, 420?

Answer: LCM of 190, 807, 978, 770, 420 is 3848889660.

2. How to calculate the LCM of 190, 807, 978, 770, 420?

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 190, 807, 978, 770, 420.

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}.