Given numbers are 600,552,117,922,824

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

The LCM of 600,552,117,922,824 is 25555350600.

Find LCM of 600,552,117,922,824 with Prime Factorization

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

2 x 2 x 2 x 3 x 25 x 23 x 39 x 461 x 103 = 25555350600

Therefore, the lowest common multiple of 600,552,117,922,824 is 25555350600.

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.

600 x 552 x 117 x 922 x 824 = 29439763891200

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.

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

117 : 1, 3, 9, 13, 39, 117

922 : 1, 2, 461, 922

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 600,552,117,922,824, is 1.

Now, the common factors can be found like this.

600:2x 2x 2x 3x 5x 5

552:2x 2x 2x 3x 23

117:3x 3x 13

922:2x 461

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.

2x 2x 2x 2x 2x 2x 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 29439763891200/(1x1152)

LCM = 29439763891200/1152

LCM = 25555350600

Thus, we can understand that the LCM of 600,552,117,922,824 is 25555350600.

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

• LCM of 454, 115, 166, 282, 757
• LCM of 451, 782, 241, 738, 637
• LCM of 699, 994, 260, 628, 463
• LCM of 741, 208, 221, 986, 985
• LCM of 105, 858, 345, 660, 593

1. What is the LCM of 600, 552, 117, 922, 824?

Answer: LCM of 600, 552, 117, 922, 824 is 25555350600.

2. How to calculate the LCM of 600, 552, 117, 922, 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 600, 552, 117, 922, 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}.