Given numbers are 455,272,117,771,936

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

The LCM of 455,272,117,771,936 is 286256880.

Find LCM of 455,272,117,771,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 35 x 34 x 1 x 257 x 1 = 286256880

Therefore, the lowest common multiple of 455,272,117,771,936 is 286256880.

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.

455 x 272 x 117 x 771 x 936 = 10449521147520

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

117 : 1, 3, 9, 13, 39, 117

771 : 1, 3, 257, 771

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,272,117,771,936, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

272:2x 2x 2x 2x 17

117:3x 3x 13

771:3x 257

936:2x 2x 2x 3x 3x 13

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 3x 13x 13 = 36504

Therefore, the value for common factors is 36504.

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 = 10449521147520/(1x36504)

LCM = 10449521147520/36504

LCM = 286256880

Thus, we can understand that the LCM of 455,272,117,771,936 is 286256880.

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

• LCM of 349, 562, 409, 218, 998
• LCM of 528, 835, 998, 617, 684
• LCM of 629, 676, 776, 770, 685
• LCM of 556, 590, 729, 175, 633
• LCM of 736, 410, 624, 661, 674

1. What is the LCM of 455, 272, 117, 771, 936?

Answer: LCM of 455, 272, 117, 771, 936 is 286256880.

2. How to calculate the LCM of 455, 272, 117, 771, 936?

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 455, 272, 117, 771, 936.

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}.