Given numbers are 30,37,51,454

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

The LCM of 30,37,51,454 is 4283490.

Find LCM of 30,37,51,454 with Prime Factorization

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

2 x 3 x 5 x 37 x 17 x 227 = 4283490

Therefore, the lowest common multiple of 30,37,51,454 is 4283490.

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.

30 x 37 x 51 x 454 = 25700940

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.

30 : 1, 2, 3, 5, 6, 10, 15, 30

37 : 1, 37

51 : 1, 3, 17, 51

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 30,37,51,454, is 1.

Now, the common factors can be found like this.

30:2x 3x 5

37:37

51:3x 17

454:2x 227

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 25700940/(1x6)

LCM = 25700940/6

LCM = 4283490

Thus, we can understand that the LCM of 30,37,51,454 is 4283490.

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

• LCM of 93, 87, 81, 335
• LCM of 75, 20, 88, 904
• LCM of 80, 52, 32, 998
• LCM of 64, 61, 54, 984
• LCM of 23, 59, 77, 315

1. What is the LCM of 30, 37, 51, 454?

Answer: LCM of 30, 37, 51, 454 is 4283490.

2. How to calculate the LCM of 30, 37, 51, 454?

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 30, 37, 51, 454.

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}.