Given numbers are 936,742,264,407,946

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

The LCM of 936,742,264,407,946 is 6077327256.

Find LCM of 936,742,264,407,946 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 39 x 371 x 1 x 37 x 43 = 6077327256

Therefore, the lowest common multiple of 936,742,264,407,946 is 6077327256.

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.

936 x 742 x 264 x 407 x 946 = 70594233405696

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.

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

407 : 1, 11, 37, 407

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,742,264,407,946, is 1.

Now, the common factors can be found like this.

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

742:2x 7x 53

264:2x 2x 2x 3x 11

407:11x 37

946:2x 11x 43

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 11x 11 = 11616

Therefore, the value for common factors is 11616.

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 = 70594233405696/(1x11616)

LCM = 70594233405696/11616

LCM = 6077327256

Thus, we can understand that the LCM of 936,742,264,407,946 is 6077327256.

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

• LCM of 587, 535, 105, 311, 278
• LCM of 541, 320, 605, 791, 511
• LCM of 845, 469, 979, 630, 725
• LCM of 500, 598, 264, 100, 647
• LCM of 844, 932, 879, 818, 910

1. What is the LCM of 936, 742, 264, 407, 946?

Answer: LCM of 936, 742, 264, 407, 946 is 6077327256.

2. How to calculate the LCM of 936, 742, 264, 407, 946?

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 936, 742, 264, 407, 946.

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}.