Given numbers are 428,497,504,348,536

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

The LCM of 428,497,504,348,536 is 7439529384.

Find LCM of 428,497,504,348,536 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 107 x 71 x 3 x 29 x 67 = 7439529384

Therefore, the lowest common multiple of 428,497,504,348,536 is 7439529384.

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.

428 x 497 x 504 x 348 x 536 = 19997454984192

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.

428 : 1, 2, 4, 107, 214, 428

497 : 1, 7, 71, 497

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,497,504,348,536, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

497:7x 71

504:2x 2x 2x 3x 3x 7

348:2x 2x 3x 29

536:2x 2x 2x 67

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 7 = 2688

Therefore, the value for common factors is 2688.

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 = 19997454984192/(1x2688)

LCM = 19997454984192/2688

LCM = 7439529384

Thus, we can understand that the LCM of 428,497,504,348,536 is 7439529384.

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

• LCM of 543, 661, 898, 701, 806
• LCM of 141, 734, 598, 363, 710
• LCM of 883, 356, 629, 233, 322
• LCM of 828, 518, 953, 630, 333
• LCM of 195, 213, 732, 736, 943

1. What is the LCM of 428, 497, 504, 348, 536?

Answer: LCM of 428, 497, 504, 348, 536 is 7439529384.

2. How to calculate the LCM of 428, 497, 504, 348, 536?

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 428, 497, 504, 348, 536.

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}.