Given numbers are 348,388,548,746,676

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

The LCM of 348,388,548,746,676 is 291519145164.

Find LCM of 348,388,548,746,676 with Prime Factorization

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

2 x 2 x 87 x 97 x 137 x 373 x 169 = 291519145164

Therefore, the lowest common multiple of 348,388,548,746,676 is 291519145164.

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.

348 x 388 x 548 x 746 x 676 = 37314450580992

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

388 : 1, 2, 4, 97, 194, 388

548 : 1, 2, 4, 137, 274, 548

746 : 1, 2, 373, 746

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,388,548,746,676, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

388:2x 2x 97

548:2x 2x 137

746:2x 373

676:2x 2x 13x 13

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 37314450580992/(2x64)

LCM = 37314450580992/128

LCM = 291519145164

Thus, we can understand that the LCM of 348,388,548,746,676 is 291519145164.

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

• LCM of 436, 811, 641, 621, 182
• LCM of 826, 298, 470, 260, 244
• LCM of 560, 912, 671, 512, 383
• LCM of 959, 214, 197, 606, 761
• LCM of 350, 884, 396, 541, 968

1. What is the LCM of 348, 388, 548, 746, 676?

Answer: LCM of 348, 388, 548, 746, 676 is 291519145164.

2. How to calculate the LCM of 348, 388, 548, 746, 676?

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 348, 388, 548, 746, 676.

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}.