Given numbers are 461,614,614,399

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

The LCM of 461,614,614,399 is 112938546.

Find LCM of 461,614,614,399 with Prime Factorization

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

2 x 307 x 461 x 1 x 1 x 399 = 112938546

Therefore, the lowest common multiple of 461,614,614,399 is 112938546.

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.

461 x 614 x 614 x 399 = 69344267244

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.

461 : 1, 461

614 : 1, 2, 307, 614

614 : 1, 2, 307, 614

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,614,614,399, is 1.

Now, the common factors can be found like this.

461:461

614:2x 307

614:2x 307

399:3x 7x 19

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

2x 307 = 614

Therefore, the value for common factors is 614.

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 = 69344267244/(1x614)

LCM = 69344267244/614

LCM = 112938546

Thus, we can understand that the LCM of 461,614,614,399 is 112938546.

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

• LCM of 987, 447, 466, 341
• LCM of 228, 917, 814, 464
• LCM of 246, 353, 786, 569
• LCM of 324, 572, 798, 314
• LCM of 887, 283, 561, 109

1. What is the LCM of 461, 614, 614, 399?

Answer: LCM of 461, 614, 614, 399 is 112938546.

2. How to calculate the LCM of 461, 614, 614, 399?

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 461, 614, 614, 399.

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}.