Given numbers are 262,460,553,426

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

The LCM of 262,460,553,426 is 7097965140.

Find LCM of 262,460,553,426 with Prime Factorization

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

2 x 131 x 230 x 553 x 213 = 7097965140

Therefore, the lowest common multiple of 262,460,553,426 is 7097965140.

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.

262 x 460 x 553 x 426 = 28391860560

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.

262 : 1, 2, 131, 262

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

553 : 1, 7, 79, 553

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,460,553,426, is 1.

Now, the common factors can be found like this.

262:2x 131

460:2x 2x 5x 23

553:7x 79

426:2x 3x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28391860560/(1x4)

LCM = 28391860560/4

LCM = 7097965140

Thus, we can understand that the LCM of 262,460,553,426 is 7097965140.

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

• LCM of 135, 214, 245, 807
• LCM of 870, 384, 186, 116
• LCM of 595, 604, 935, 872
• LCM of 342, 751, 659, 774
• LCM of 932, 861, 241, 385

1. What is the LCM of 262, 460, 553, 426?

Answer: LCM of 262, 460, 553, 426 is 7097965140.

2. How to calculate the LCM of 262, 460, 553, 426?

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 262, 460, 553, 426.

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}.