Given numbers are 214,128,326,508,832

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

The LCM of 214,128,326,508,832 is 3685771648.

Find LCM of 214,128,326,508,832 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 107 x 2 x 163 x 127 x 13 = 3685771648

Therefore, the lowest common multiple of 214,128,326,508,832 is 3685771648.

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 128 x 326 x 508 x 832 = 3774230167552

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

326 : 1, 2, 163, 326

508 : 1, 2, 4, 127, 254, 508

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,128,326,508,832, is 2.

Now, the common factors can be found like this.

214:2x 107

128:2x 2x 2x 2x 2x 2x 2

326:2x 163

508:2x 2x 127

832:2x 2x 2x 2x 2x 2x 13

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 2x 2x 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 3774230167552/(2x512)

LCM = 3774230167552/1024

LCM = 3685771648

Thus, we can understand that the LCM of 214,128,326,508,832 is 3685771648.

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

• LCM of 140, 841, 147, 430, 137
• LCM of 104, 151, 255, 873, 950
• LCM of 586, 721, 614, 119, 492
• LCM of 246, 238, 679, 477, 390
• LCM of 101, 912, 904, 517, 373

1. What is the LCM of 214, 128, 326, 508, 832?

Answer: LCM of 214, 128, 326, 508, 832 is 3685771648.

2. How to calculate the LCM of 214, 128, 326, 508, 832?

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, 128, 326, 508, 832.

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}.