Given numbers are 214,314,893,916

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

The LCM of 214,314,893,916 is 13741380412.

Find LCM of 214,314,893,916 with Prime Factorization

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

2 x 107 x 157 x 893 x 458 = 13741380412

Therefore, the lowest common multiple of 214,314,893,916 is 13741380412.

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.

214 x 314 x 893 x 916 = 54965521648

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.

214 : 1, 2, 107, 214

314 : 1, 2, 157, 314

893 : 1, 19, 47, 893

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,314,893,916, is 1.

Now, the common factors can be found like this.

214:2x 107

314:2x 157

893:19x 47

916:2x 2x 229

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 = 54965521648/(1x4)

LCM = 54965521648/4

LCM = 13741380412

Thus, we can understand that the LCM of 214,314,893,916 is 13741380412.

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

• LCM of 482, 415, 617, 117
• LCM of 958, 459, 350, 836
• LCM of 953, 938, 731, 714
• LCM of 705, 238, 401, 231
• LCM of 293, 106, 381, 841

1. What is the LCM of 214, 314, 893, 916?

Answer: LCM of 214, 314, 893, 916 is 13741380412.

2. How to calculate the LCM of 214, 314, 893, 916?

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 214, 314, 893, 916.

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}.