Given numbers are 538,377,416,343

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

The LCM of 538,377,416,343 is 1113109088.

Find LCM of 538,377,416,343 with Prime Factorization

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

2 x 13 x 269 x 29 x 16 x 343 = 1113109088

Therefore, the lowest common multiple of 538,377,416,343 is 1113109088.

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.

538 x 377 x 416 x 343 = 28940836288

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.

538 : 1, 2, 269, 538

377 : 1, 13, 29, 377

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,377,416,343, is 1.

Now, the common factors can be found like this.

538:2x 269

377:13x 29

416:2x 2x 2x 2x 2x 13

343:7x 7x 7

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 28940836288/(1x26)

LCM = 28940836288/26

LCM = 1113109088

Thus, we can understand that the LCM of 538,377,416,343 is 1113109088.

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

• LCM of 618, 191, 300, 665
• LCM of 965, 854, 974, 999
• LCM of 155, 848, 615, 327
• LCM of 238, 422, 599, 814
• LCM of 908, 130, 650, 602

1. What is the LCM of 538, 377, 416, 343?

Answer: LCM of 538, 377, 416, 343 is 1113109088.

2. How to calculate the LCM of 538, 377, 416, 343?

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 538, 377, 416, 343.

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}.