Given numbers are 240,596,128,956

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

The LCM of 240,596,128,956 is 68373120.

Find LCM of 240,596,128,956 with Prime Factorization

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

2 x 2 x 2 x 2 x 15 x 149 x 8 x 239 = 68373120

Therefore, the lowest common multiple of 240,596,128,956 is 68373120.

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.

240 x 596 x 128 x 956 = 17503518720

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.

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

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

956 : 1, 2, 4, 239, 478, 956

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,596,128,956, is 4.

Now, the common factors can be found like this.

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

596:2x 2x 149

128:2x 2x 2x 2x 2x 2x 2

956:2x 2x 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 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 = 17503518720/(4x64)

LCM = 17503518720/256

LCM = 68373120

Thus, we can understand that the LCM of 240,596,128,956 is 68373120.

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

• LCM of 383, 220, 586, 714
• LCM of 136, 941, 872, 992
• LCM of 777, 738, 633, 676
• LCM of 427, 741, 608, 655
• LCM of 935, 809, 913, 573

1. What is the LCM of 240, 596, 128, 956?

Answer: LCM of 240, 596, 128, 956 is 68373120.

2. How to calculate the LCM of 240, 596, 128, 956?

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 240, 596, 128, 956.

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}.