Given numbers are 24,15,27,278

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

The LCM of 24,15,27,278 is 150120.

Find LCM of 24,15,27,278 with Prime Factorization

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

2 x 3 x 4 x 5 x 9 x 139 = 150120

Therefore, the lowest common multiple of 24,15,27,278 is 150120.

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.

24 x 15 x 27 x 278 = 2702160

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.

24 : 1, 2, 3, 4, 6, 8, 12, 24

15 : 1, 3, 5, 15

27 : 1, 3, 9, 27

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,15,27,278, is 1.

Now, the common factors can be found like this.

24:2x 2x 2x 3

15:3x 5

27:3x 3x 3

278:2x 139

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2702160/(1x18)

LCM = 2702160/18

LCM = 150120

Thus, we can understand that the LCM of 24,15,27,278 is 150120.

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

• LCM of 23, 30, 96, 695
• LCM of 63, 61, 17, 923
• LCM of 69, 52, 47, 462
• LCM of 11, 70, 37, 326
• LCM of 79, 80, 61, 734

1. What is the LCM of 24, 15, 27, 278?

Answer: LCM of 24, 15, 27, 278 is 150120.

2. How to calculate the LCM of 24, 15, 27, 278?

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 24, 15, 27, 278.

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}.