Given numbers are 51,13,52,21,377

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

The LCM of 51,13,52,21,377 is 538356.

Find LCM of 51,13,52,21,377 with Prime Factorization

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

3 x 13 x 17 x 1 x 4 x 7 x 29 = 538356

Therefore, the lowest common multiple of 51,13,52,21,377 is 538356.

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.

51 x 13 x 52 x 21 x 377 = 272946492

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.

51 : 1, 3, 17, 51

13 : 1, 13

52 : 1, 2, 4, 13, 26, 52

21 : 1, 3, 7, 21

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 51,13,52,21,377, is 1.

Now, the common factors can be found like this.

51:3x 17

13:13

52:2x 2x 13

21:3x 7

377:13x 29

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

3x 13x 13 = 507

Therefore, the value for common factors is 507.

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 = 272946492/(1x507)

LCM = 272946492/507

LCM = 538356

Thus, we can understand that the LCM of 51,13,52,21,377 is 538356.

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

• LCM of 38, 70, 87, 84, 702
• LCM of 87, 30, 14, 96, 751
• LCM of 54, 74, 33, 64, 538
• LCM of 21, 18, 23, 86, 277
• LCM of 64, 63, 49, 29, 229

1. What is the LCM of 51, 13, 52, 21, 377?

Answer: LCM of 51, 13, 52, 21, 377 is 538356.

2. How to calculate the LCM of 51, 13, 52, 21, 377?

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 51, 13, 52, 21, 377.

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}.