Given numbers are 424,371,341,138

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

The LCM of 424,371,341,138 is 69834072.

Find LCM of 424,371,341,138 with Prime Factorization

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

2 x 53 x 4 x 7 x 341 x 69 = 69834072

Therefore, the lowest common multiple of 424,371,341,138 is 69834072.

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.

424 x 371 x 341 x 138 = 7402411632

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

371 : 1, 7, 53, 371

341 : 1, 11, 31, 341

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,371,341,138, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

371:7x 53

341:11x 31

138:2x 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 53 = 106

Therefore, the value for common factors is 106.

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 = 7402411632/(1x106)

LCM = 7402411632/106

LCM = 69834072

Thus, we can understand that the LCM of 424,371,341,138 is 69834072.

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

• LCM of 256, 403, 730, 793
• LCM of 613, 237, 839, 121
• LCM of 433, 814, 369, 333
• LCM of 912, 439, 505, 652
• LCM of 161, 120, 800, 888

1. What is the LCM of 424, 371, 341, 138?

Answer: LCM of 424, 371, 341, 138 is 69834072.

2. How to calculate the LCM of 424, 371, 341, 138?

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 424, 371, 341, 138.

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}.