Given numbers are 596,824,674,668,756

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

The LCM of 596,824,674,668,756 is 1305935285256.

Find LCM of 596,824,674,668,756 with Prime Factorization

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

2 x 2 x 149 x 206 x 337 x 167 x 189 = 1305935285256

Therefore, the lowest common multiple of 596,824,674,668,756 is 1305935285256.

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 824 x 674 x 668 x 756 = 167159716512768

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

674 : 1, 2, 337, 674

668 : 1, 2, 4, 167, 334, 668

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,824,674,668,756, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

824:2x 2x 2x 103

674:2x 337

668:2x 2x 167

756:2x 2x 3x 3x 3x 7

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 2 = 64

Therefore, the value for common factors is 64.

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 = 167159716512768/(2x64)

LCM = 167159716512768/128

LCM = 1305935285256

Thus, we can understand that the LCM of 596,824,674,668,756 is 1305935285256.

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

• LCM of 328, 280, 870, 537, 187
• LCM of 552, 816, 408, 660, 489
• LCM of 959, 507, 715, 189, 606
• LCM of 379, 586, 835, 369, 984
• LCM of 591, 604, 706, 157, 578

1. What is the LCM of 596, 824, 674, 668, 756?

Answer: LCM of 596, 824, 674, 668, 756 is 1305935285256.

2. How to calculate the LCM of 596, 824, 674, 668, 756?

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, 824, 674, 668, 756.

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}.