Given numbers are 18,15,76,524

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

The LCM of 18,15,76,524 is 448020.

Find LCM of 18,15,76,524 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 19 x 131 = 448020

Therefore, the lowest common multiple of 18,15,76,524 is 448020.

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.

18 x 15 x 76 x 524 = 10752480

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.

18 : 1, 2, 3, 6, 9, 18

15 : 1, 3, 5, 15

76 : 1, 2, 4, 19, 38, 76

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 18,15,76,524, is 1.

Now, the common factors can be found like this.

18:2x 3x 3

15:3x 5

76:2x 2x 19

524:2x 2x 131

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 3 = 24

Therefore, the value for common factors is 24.

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 = 10752480/(1x24)

LCM = 10752480/24

LCM = 448020

Thus, we can understand that the LCM of 18,15,76,524 is 448020.

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

• LCM of 17, 18, 90, 559
• LCM of 98, 80, 79, 342
• LCM of 41, 75, 71, 934
• LCM of 40, 12, 48, 226
• LCM of 25, 25, 12, 290

1. What is the LCM of 18, 15, 76, 524?

Answer: LCM of 18, 15, 76, 524 is 448020.

2. How to calculate the LCM of 18, 15, 76, 524?

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 18, 15, 76, 524.

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}.