Given numbers are 924,438,447,390,543

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

The LCM of 924,438,447,390,543 is 118242344220.

Find LCM of 924,438,447,390,543 with Prime Factorization

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

2 x 3 x 154 x 73 x 149 x 65 x 181 = 118242344220

Therefore, the lowest common multiple of 924,438,447,390,543 is 118242344220.

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.

924 x 438 x 447 x 390 x 543 = 38310519527280

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

438 : 1, 2, 3, 6, 73, 146, 219, 438

447 : 1, 3, 149, 447

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

543 : 1, 3, 181, 543

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,438,447,390,543, is 3.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

438:2x 3x 73

447:3x 149

390:2x 3x 5x 13

543:3x 181

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 3 = 108

Therefore, the value for common factors is 108.

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 = 38310519527280/(3x108)

LCM = 38310519527280/324

LCM = 118242344220

Thus, we can understand that the LCM of 924,438,447,390,543 is 118242344220.

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

• LCM of 630, 623, 624, 188, 469
• LCM of 349, 772, 506, 804, 640
• LCM of 136, 498, 374, 306, 149
• LCM of 849, 227, 324, 775, 150
• LCM of 319, 247, 378, 384, 638

1. What is the LCM of 924, 438, 447, 390, 543?

Answer: LCM of 924, 438, 447, 390, 543 is 118242344220.

2. How to calculate the LCM of 924, 438, 447, 390, 543?

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 924, 438, 447, 390, 543.

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}.