Given numbers are 836,828,190,660,919

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

The LCM of 836,828,190,660,919 is 795173940.

Find LCM of 836,828,190,660,919 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 19 x 1 x 69 x 1 x 1 x 919 = 795173940

Therefore, the lowest common multiple of 836,828,190,660,919 is 795173940.

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.

836 x 828 x 190 x 660 x 919 = 79771849660800

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,828,190,660,919, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

828:2x 2x 3x 3x 23

190:2x 5x 19

660:2x 2x 3x 5x 11

919:919

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 2x 3x 5x 11x 19 = 100320

Therefore, the value for common factors is 100320.

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 = 79771849660800/(1x100320)

LCM = 79771849660800/100320

LCM = 795173940

Thus, we can understand that the LCM of 836,828,190,660,919 is 795173940.

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

• LCM of 744, 760, 850, 837, 346
• LCM of 269, 296, 350, 579, 762
• LCM of 288, 215, 580, 936, 901
• LCM of 292, 333, 641, 240, 584
• LCM of 499, 370, 867, 186, 723

1. What is the LCM of 836, 828, 190, 660, 919?

Answer: LCM of 836, 828, 190, 660, 919 is 795173940.

2. How to calculate the LCM of 836, 828, 190, 660, 919?

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 836, 828, 190, 660, 919.

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}.