Given numbers are 946,702,318,912,646

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

The LCM of 946,702,318,912,646 is 45474363792.

Find LCM of 946,702,318,912,646 with Prime Factorization

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

2 x 3 x 19 x 473 x 117 x 53 x 8 x 17 = 45474363792

Therefore, the lowest common multiple of 946,702,318,912,646 is 45474363792.

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 702 x 318 x 912 x 646 = 124417859334912

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

318 : 1, 2, 3, 6, 53, 106, 159, 318

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

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,702,318,912,646, is 2.

Now, the common factors can be found like this.

946:2x 11x 43

702:2x 3x 3x 3x 13

318:2x 3x 53

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

646:2x 17x 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 3x 3x 19 = 1368

Therefore, the value for common factors is 1368.

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 = 124417859334912/(2x1368)

LCM = 124417859334912/2736

LCM = 45474363792

Thus, we can understand that the LCM of 946,702,318,912,646 is 45474363792.

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

• LCM of 238, 213, 651, 417, 275
• LCM of 270, 674, 692, 458, 144
• LCM of 730, 134, 812, 815, 738
• LCM of 173, 647, 183, 166, 427
• LCM of 822, 248, 134, 821, 150

1. What is the LCM of 946, 702, 318, 912, 646?

Answer: LCM of 946, 702, 318, 912, 646 is 45474363792.

2. How to calculate the LCM of 946, 702, 318, 912, 646?

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, 702, 318, 912, 646.

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}.