Given numbers are 35,18,824

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

The LCM of 35,18,824 is 259560.

Find LCM of 35,18,824 with Prime Factorization

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

2 x 35 x 9 x 412 = 259560

Therefore, the lowest common multiple of 35,18,824 is 259560.

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.

35 x 18 x 824 = 519120

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.

35 : 1, 5, 7, 35

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

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 35,18,824, is 1.

Now, the common factors can be found like this.

35:5x 7

18:2x 3x 3

824:2x 2x 2x 103

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

2 = 2

Therefore, the value for common factors is 2.

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 = 519120/(1x2)

LCM = 519120/2

LCM = 259560

Thus, we can understand that the LCM of 35,18,824 is 259560.

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

• LCM of 63, 35, 745
• LCM of 83, 94, 320
• LCM of 32, 86, 311
• LCM of 42, 83, 792
• LCM of 16, 17, 371

1. What is the LCM of 35, 18, 824?

Answer: LCM of 35, 18, 824 is 259560.

2. How to calculate the LCM of 35, 18, 824?

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 35, 18, 824.

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}.