Given numbers are 204,774,980,642,336

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

The LCM of 204,774,980,642,336 is 2759495760.

Find LCM of 204,774,980,642,336 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 129 x 35 x 107 x 4 = 2759495760

Therefore, the lowest common multiple of 204,774,980,642,336 is 2759495760.

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.

204 x 774 x 980 x 642 x 336 = 33378860712960

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

642 : 1, 2, 3, 6, 107, 214, 321, 642

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,774,980,642,336, is 2.

Now, the common factors can be found like this.

204:2x 2x 3x 17

774:2x 3x 3x 43

980:2x 2x 5x 7x 7

642:2x 3x 107

336:2x 2x 2x 2x 3x 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 2x 2x 3x 3x 3x 7 = 6048

Therefore, the value for common factors is 6048.

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 = 33378860712960/(2x6048)

LCM = 33378860712960/12096

LCM = 2759495760

Thus, we can understand that the LCM of 204,774,980,642,336 is 2759495760.

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

• LCM of 771, 600, 916, 470, 443
• LCM of 531, 196, 385, 711, 911
• LCM of 268, 136, 495, 100, 801
• LCM of 252, 565, 181, 803, 452
• LCM of 357, 342, 291, 947, 568

1. What is the LCM of 204, 774, 980, 642, 336?

Answer: LCM of 204, 774, 980, 642, 336 is 2759495760.

2. How to calculate the LCM of 204, 774, 980, 642, 336?

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 204, 774, 980, 642, 336.

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}.