Given numbers are 460,769,698,542,426

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

The LCM of 460,769,698,542,426 is 7126207972980.

Find LCM of 460,769,698,542,426 with Prime Factorization

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

2 x 230 x 769 x 349 x 271 x 213 = 7126207972980

Therefore, the lowest common multiple of 460,769,698,542,426 is 7126207972980.

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.

460 x 769 x 698 x 542 x 426 = 57009663783840

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.

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

769 : 1, 769

698 : 1, 2, 349, 698

542 : 1, 2, 271, 542

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 460,769,698,542,426, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

769:769

698:2x 349

542:2x 271

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 57009663783840/(1x8)

LCM = 57009663783840/8

LCM = 7126207972980

Thus, we can understand that the LCM of 460,769,698,542,426 is 7126207972980.

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

• LCM of 379, 578, 755, 499, 222
• LCM of 250, 658, 133, 290, 146
• LCM of 456, 787, 235, 449, 955
• LCM of 690, 871, 157, 722, 482
• LCM of 572, 757, 876, 248, 171

1. What is the LCM of 460, 769, 698, 542, 426?

Answer: LCM of 460, 769, 698, 542, 426 is 7126207972980.

2. How to calculate the LCM of 460, 769, 698, 542, 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 460, 769, 698, 542, 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}.