Given numbers are 423,922,312,464,645

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

The LCM of 423,922,312,464,645 is 252895490640.

Find LCM of 423,922,312,464,645 with Prime Factorization

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

2 x 2 x 2 x 3 x 141 x 461 x 13 x 58 x 215 = 252895490640

Therefore, the lowest common multiple of 423,922,312,464,645 is 252895490640.

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.

423 x 922 x 312 x 464 x 645 = 36416950652160

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.

423 : 1, 3, 9, 47, 141, 423

922 : 1, 2, 461, 922

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,922,312,464,645, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

922:2x 461

312:2x 2x 2x 3x 13

464:2x 2x 2x 2x 29

645:3x 5x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 36416950652160/(1x144)

LCM = 36416950652160/144

LCM = 252895490640

Thus, we can understand that the LCM of 423,922,312,464,645 is 252895490640.

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

• LCM of 240, 435, 901, 534, 760
• LCM of 111, 653, 664, 719, 351
• LCM of 684, 966, 979, 635, 834
• LCM of 640, 275, 591, 735, 364
• LCM of 962, 399, 905, 327, 610

1. What is the LCM of 423, 922, 312, 464, 645?

Answer: LCM of 423, 922, 312, 464, 645 is 252895490640.

2. How to calculate the LCM of 423, 922, 312, 464, 645?

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 423, 922, 312, 464, 645.

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}.