Given numbers are 348,264,126,411,900

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

The LCM of 348,264,126,411,900 is 550657800.

Find LCM of 348,264,126,411,900 with Prime Factorization

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

2 x 2 x 3 x 3 x 29 x 22 x 7 x 137 x 25 = 550657800

Therefore, the lowest common multiple of 348,264,126,411,900 is 550657800.

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.

348 x 264 x 126 x 411 x 900 = 4281915052800

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.

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

411 : 1, 3, 137, 411

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,264,126,411,900, is 3.

Now, the common factors can be found like this.

348:2x 2x 3x 29

264:2x 2x 2x 3x 11

126:2x 3x 3x 7

411:3x 137

900:2x 2x 3x 3x 5x 5

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 4281915052800/(3x2592)

LCM = 4281915052800/7776

LCM = 550657800

Thus, we can understand that the LCM of 348,264,126,411,900 is 550657800.

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

• LCM of 787, 477, 689, 912, 609
• LCM of 707, 415, 794, 817, 584
• LCM of 234, 232, 915, 755, 636
• LCM of 420, 238, 549, 129, 921
• LCM of 126, 219, 751, 460, 486

1. What is the LCM of 348, 264, 126, 411, 900?

Answer: LCM of 348, 264, 126, 411, 900 is 550657800.

2. How to calculate the LCM of 348, 264, 126, 411, 900?

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 348, 264, 126, 411, 900.

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}.