Given numbers are 381,414,122,508

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

The LCM of 381,414,122,508 is 6414516.

Find LCM of 381,414,122,508 with Prime Factorization

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

2 x 3 x 127 x 1 x 69 x 61 x 2 = 6414516

Therefore, the lowest common multiple of 381,414,122,508 is 6414516.

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.

381 x 414 x 122 x 508 = 9775722384

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.

381 : 1, 3, 127, 381

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

122 : 1, 2, 61, 122

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,414,122,508, is 1.

Now, the common factors can be found like this.

381:3x 127

414:2x 3x 3x 23

122:2x 61

508:2x 2x 127

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 127 = 1524

Therefore, the value for common factors is 1524.

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 = 9775722384/(1x1524)

LCM = 9775722384/1524

LCM = 6414516

Thus, we can understand that the LCM of 381,414,122,508 is 6414516.

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

• LCM of 931, 625, 678, 426
• LCM of 782, 325, 601, 931
• LCM of 893, 877, 402, 976
• LCM of 378, 665, 924, 697
• LCM of 673, 346, 598, 326

1. What is the LCM of 381, 414, 122, 508?

Answer: LCM of 381, 414, 122, 508 is 6414516.

2. How to calculate the LCM of 381, 414, 122, 508?

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 381, 414, 122, 508.

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}.