Given numbers are 414,572,475,838

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

The LCM of 414,572,475,838 is 23565356100.

Find LCM of 414,572,475,838 with Prime Factorization

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

2 x 207 x 286 x 475 x 419 = 23565356100

Therefore, the lowest common multiple of 414,572,475,838 is 23565356100.

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.

414 x 572 x 475 x 838 = 94261424400

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

475 : 1, 5, 19, 25, 95, 475

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,572,475,838, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

572:2x 2x 11x 13

475:5x 5x 19

838:2x 419

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 94261424400/(1x4)

LCM = 94261424400/4

LCM = 23565356100

Thus, we can understand that the LCM of 414,572,475,838 is 23565356100.

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

• LCM of 788, 920, 137, 847
• LCM of 711, 991, 954, 583
• LCM of 398, 327, 405, 869
• LCM of 698, 179, 950, 501
• LCM of 522, 628, 900, 214

1. What is the LCM of 414, 572, 475, 838?

Answer: LCM of 414, 572, 475, 838 is 23565356100.

2. How to calculate the LCM of 414, 572, 475, 838?

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 414, 572, 475, 838.

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}.