Given numbers are 210,138,396,701,408

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

The LCM of 210,138,396,701,408 is 7597802520.

Find LCM of 210,138,396,701,408 with Prime Factorization

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

2 x 2 x 3 x 35 x 23 x 33 x 701 x 34 = 7597802520

Therefore, the lowest common multiple of 210,138,396,701,408 is 7597802520.

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.

210 x 138 x 396 x 701 x 408 = 3282250688640

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

138 : 1, 2, 3, 6, 23, 46, 69, 138

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

701 : 1, 701

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,138,396,701,408, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

138:2x 3x 23

396:2x 2x 3x 3x 11

701:701

408:2x 2x 2x 3x 17

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 3282250688640/(1x432)

LCM = 3282250688640/432

LCM = 7597802520

Thus, we can understand that the LCM of 210,138,396,701,408 is 7597802520.

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

• LCM of 522, 206, 525, 422, 493
• LCM of 630, 573, 131, 839, 843
• LCM of 475, 915, 836, 397, 554
• LCM of 117, 925, 443, 706, 712
• LCM of 870, 101, 369, 101, 520

1. What is the LCM of 210, 138, 396, 701, 408?

Answer: LCM of 210, 138, 396, 701, 408 is 7597802520.

2. How to calculate the LCM of 210, 138, 396, 701, 408?

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 210, 138, 396, 701, 408.

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}.