Given numbers are 24,60,81,965

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

The LCM of 24,60,81,965 is 625320.

Find LCM of 24,60,81,965 with Prime Factorization

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

2 x 2 x 3 x 5 x 2 x 1 x 27 x 193 = 625320

Therefore, the lowest common multiple of 24,60,81,965 is 625320.

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 60 x 81 x 965 = 112557600

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

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

81 : 1, 3, 9, 27, 81

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 24,60,81,965, is 1.

Now, the common factors can be found like this.

24:2x 2x 2x 3

60:2x 2x 3x 5

81:3x 3x 3x 3

965:5x 193

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 112557600/(1x180)

LCM = 112557600/180

LCM = 625320

Thus, we can understand that the LCM of 24,60,81,965 is 625320.

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

• LCM of 69, 49, 54, 598
• LCM of 40, 85, 47, 668
• LCM of 91, 79, 36, 181
• LCM of 56, 84, 34, 800
• LCM of 25, 23, 66, 316

1. What is the LCM of 24, 60, 81, 965?

Answer: LCM of 24, 60, 81, 965 is 625320.

2. How to calculate the LCM of 24, 60, 81, 965?

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, 60, 81, 965.

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}.