Given numbers are 506,138,370,414

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

The LCM of 506,138,370,414 is 842490.

Find LCM of 506,138,370,414 with Prime Factorization

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

2 x 3 x 23 x 11 x 1 x 185 x 3 = 842490

Therefore, the lowest common multiple of 506,138,370,414 is 842490.

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.

506 x 138 x 370 x 414 = 10696253040

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

138 : 1, 2, 3, 6, 23, 46, 69, 138

370 : 1, 2, 5, 10, 37, 74, 185, 370

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,138,370,414, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

138:2x 3x 23

370:2x 5x 37

414:2x 3x 3x 23

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 23x 23 = 6348

Therefore, the value for common factors is 6348.

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 = 10696253040/(2x6348)

LCM = 10696253040/12696

LCM = 842490

Thus, we can understand that the LCM of 506,138,370,414 is 842490.

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

• LCM of 543, 152, 241, 552
• LCM of 789, 970, 354, 384
• LCM of 716, 166, 741, 712
• LCM of 896, 800, 934, 669
• LCM of 299, 305, 269, 171

1. What is the LCM of 506, 138, 370, 414?

Answer: LCM of 506, 138, 370, 414 is 842490.

2. How to calculate the LCM of 506, 138, 370, 414?

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 506, 138, 370, 414.

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}.