Given numbers are 596,646,640,213,239

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

The LCM of 596,646,640,213,239 is 1568000760960.

Find LCM of 596,646,640,213,239 with Prime Factorization

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

2 x 2 x 149 x 323 x 160 x 213 x 239 = 1568000760960

Therefore, the lowest common multiple of 596,646,640,213,239 is 1568000760960.

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.

596 x 646 x 640 x 213 x 239 = 12544006087680

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.

596 : 1, 2, 4, 149, 298, 596

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

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

213 : 1, 3, 71, 213

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,646,640,213,239, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

646:2x 17x 19

640:2x 2x 2x 2x 2x 2x 2x 5

213:3x 71

239:239

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 2 = 8

Therefore, the value for common factors is 8.

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 = 12544006087680/(1x8)

LCM = 12544006087680/8

LCM = 1568000760960

Thus, we can understand that the LCM of 596,646,640,213,239 is 1568000760960.

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

• LCM of 639, 530, 113, 947, 783
• LCM of 473, 955, 759, 236, 679
• LCM of 973, 423, 603, 405, 771
• LCM of 946, 905, 870, 971, 911
• LCM of 584, 697, 481, 359, 727

1. What is the LCM of 596, 646, 640, 213, 239?

Answer: LCM of 596, 646, 640, 213, 239 is 1568000760960.

2. How to calculate the LCM of 596, 646, 640, 213, 239?

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 596, 646, 640, 213, 239.

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}.