Given numbers are 722,848,136,460,268

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

The LCM of 722,848,136,460,268 is 40098176080.

Find LCM of 722,848,136,460,268 with Prime Factorization

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

2 x 2 x 2 x 361 x 106 x 17 x 115 x 67 = 40098176080

Therefore, the lowest common multiple of 722,848,136,460,268 is 40098176080.

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.

722 x 848 x 136 x 460 x 268 = 10265133076480

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.

722 : 1, 2, 19, 38, 361, 722

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

136 : 1, 2, 4, 8, 17, 34, 68, 136

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,848,136,460,268, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

848:2x 2x 2x 2x 53

136:2x 2x 2x 17

460:2x 2x 5x 23

268:2x 2x 67

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 2 = 128

Therefore, the value for common factors is 128.

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 = 10265133076480/(2x128)

LCM = 10265133076480/256

LCM = 40098176080

Thus, we can understand that the LCM of 722,848,136,460,268 is 40098176080.

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

• LCM of 381, 592, 796, 563, 399
• LCM of 299, 652, 111, 663, 616
• LCM of 556, 635, 208, 534, 833
• LCM of 500, 517, 897, 197, 366
• LCM of 700, 831, 693, 662, 535

1. What is the LCM of 722, 848, 136, 460, 268?

Answer: LCM of 722, 848, 136, 460, 268 is 40098176080.

2. How to calculate the LCM of 722, 848, 136, 460, 268?

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 722, 848, 136, 460, 268.

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}.