Given numbers are 824,30,289,607

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

The LCM of 824,30,289,607 is 2168228280.

Find LCM of 824,30,289,607 with Prime Factorization

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

2 x 412 x 15 x 289 x 607 = 2168228280

Therefore, the lowest common multiple of 824,30,289,607 is 2168228280.

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.

824 x 30 x 289 x 607 = 4336456560

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.

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

30 : 1, 2, 3, 5, 6, 10, 15, 30

289 : 1, 17, 289

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,30,289,607, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

30:2x 3x 5

289:17x 17

607:607

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 = 4336456560/(1x2)

LCM = 4336456560/2

LCM = 2168228280

Thus, we can understand that the LCM of 824,30,289,607 is 2168228280.

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

• LCM of 858, 37, 708, 155
• LCM of 723, 13, 771, 203
• LCM of 978, 15, 445, 505
• LCM of 633, 42, 822, 781
• LCM of 285, 25, 284, 922

1. What is the LCM of 824, 30, 289, 607?

Answer: LCM of 824, 30, 289, 607 is 2168228280.

2. How to calculate the LCM of 824, 30, 289, 607?

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 824, 30, 289, 607.

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}.