Given numbers are 946,861,240,912

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

The LCM of 946,861,240,912 is 619024560.

Find LCM of 946,861,240,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 473 x 287 x 5 x 19 = 619024560

Therefore, the lowest common multiple of 946,861,240,912 is 619024560.

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.

946 x 861 x 240 x 912 = 178279073280

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.

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

861 : 1, 3, 7, 21, 41, 123, 287, 861

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,861,240,912, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

861:3x 7x 41

240:2x 2x 2x 2x 3x 5

912:2x 2x 2x 2x 3x 19

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 3 = 288

Therefore, the value for common factors is 288.

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 = 178279073280/(1x288)

LCM = 178279073280/288

LCM = 619024560

Thus, we can understand that the LCM of 946,861,240,912 is 619024560.

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

• LCM of 198, 416, 285, 528
• LCM of 666, 598, 632, 927
• LCM of 500, 357, 300, 325
• LCM of 720, 629, 970, 429
• LCM of 835, 664, 716, 815

1. What is the LCM of 946, 861, 240, 912?

Answer: LCM of 946, 861, 240, 912 is 619024560.

2. How to calculate the LCM of 946, 861, 240, 912?

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 946, 861, 240, 912.

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}.