Given numbers are 284,254,614,426,893

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

The LCM of 284,254,614,426,893 is 29664234804.

Find LCM of 284,254,614,426,893 with Prime Factorization

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

2 x 71 x 2 x 127 x 307 x 3 x 893 = 29664234804

Therefore, the lowest common multiple of 284,254,614,426,893 is 29664234804.

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.

284 x 254 x 614 x 426 x 893 = 16849285368672

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.

284 : 1, 2, 4, 71, 142, 284

254 : 1, 2, 127, 254

614 : 1, 2, 307, 614

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

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,254,614,426,893, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

254:2x 127

614:2x 307

426:2x 3x 71

893:19x 47

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 71 = 568

Therefore, the value for common factors is 568.

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 = 16849285368672/(1x568)

LCM = 16849285368672/568

LCM = 29664234804

Thus, we can understand that the LCM of 284,254,614,426,893 is 29664234804.

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

• LCM of 320, 386, 138, 679, 151
• LCM of 329, 204, 602, 458, 788
• LCM of 858, 352, 146, 981, 639
• LCM of 113, 713, 766, 904, 111
• LCM of 702, 967, 919, 116, 112

1. What is the LCM of 284, 254, 614, 426, 893?

Answer: LCM of 284, 254, 614, 426, 893 is 29664234804.

2. How to calculate the LCM of 284, 254, 614, 426, 893?

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 284, 254, 614, 426, 893.

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}.