Given numbers are 268,160,652,388,840

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

The LCM of 268,160,652,388,840 is 3559372320.

Find LCM of 268,160,652,388,840 with Prime Factorization

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

2 x 2 x 2 x 5 x 67 x 4 x 163 x 97 x 21 = 3559372320

Therefore, the lowest common multiple of 268,160,652,388,840 is 3559372320.

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.

268 x 160 x 652 x 388 x 840 = 9111993139200

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.

268 : 1, 2, 4, 67, 134, 268

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

652 : 1, 2, 4, 163, 326, 652

388 : 1, 2, 4, 97, 194, 388

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,160,652,388,840, is 4.

Now, the common factors can be found like this.

268:2x 2x 67

160:2x 2x 2x 2x 2x 5

652:2x 2x 163

388:2x 2x 97

840:2x 2x 2x 3x 5x 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 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 9111993139200/(4x640)

LCM = 9111993139200/2560

LCM = 3559372320

Thus, we can understand that the LCM of 268,160,652,388,840 is 3559372320.

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

• LCM of 746, 206, 845, 899, 501
• LCM of 348, 367, 652, 529, 534
• LCM of 949, 227, 695, 894, 115
• LCM of 816, 393, 777, 388, 293
• LCM of 909, 929, 339, 950, 179

1. What is the LCM of 268, 160, 652, 388, 840?

Answer: LCM of 268, 160, 652, 388, 840 is 3559372320.

2. How to calculate the LCM of 268, 160, 652, 388, 840?

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 268, 160, 652, 388, 840.

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}.