Given numbers are 61,87,61,24,353

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

The LCM of 61,87,61,24,353 is 14986968.

Find LCM of 61,87,61,24,353 with Prime Factorization

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

3 x 61 x 1 x 29 x 1 x 8 x 353 = 14986968

Therefore, the lowest common multiple of 61,87,61,24,353 is 14986968.

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.

61 x 87 x 61 x 24 x 353 = 2742615144

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.

61 : 1, 61

87 : 1, 3, 29, 87

61 : 1, 61

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

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 61,87,61,24,353, is 1.

Now, the common factors can be found like this.

61:61

87:3x 29

61:61

24:2x 2x 2x 3

353:353

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

3x 61 = 183

Therefore, the value for common factors is 183.

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 = 2742615144/(1x183)

LCM = 2742615144/183

LCM = 14986968

Thus, we can understand that the LCM of 61,87,61,24,353 is 14986968.

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

• LCM of 60, 70, 37, 79, 250
• LCM of 13, 33, 78, 85, 638
• LCM of 12, 73, 41, 53, 215
• LCM of 43, 31, 29, 89, 859
• LCM of 79, 63, 33, 38, 234

1. What is the LCM of 61, 87, 61, 24, 353?

Answer: LCM of 61, 87, 61, 24, 353 is 14986968.

2. How to calculate the LCM of 61, 87, 61, 24, 353?

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 61, 87, 61, 24, 353.

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}.