Given numbers are 346,614,338,416

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

The LCM of 346,614,338,416 is 287224288.

Find LCM of 346,614,338,416 with Prime Factorization

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

2 x 13 x 173 x 307 x 13 x 16 = 287224288

Therefore, the lowest common multiple of 346,614,338,416 is 287224288.

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.

346 x 614 x 338 x 416 = 29871325952

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.

346 : 1, 2, 173, 346

614 : 1, 2, 307, 614

338 : 1, 2, 13, 26, 169, 338

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,614,338,416, is 2.

Now, the common factors can be found like this.

346:2x 173

614:2x 307

338:2x 13x 13

416:2x 2x 2x 2x 2x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 29871325952/(2x52)

LCM = 29871325952/104

LCM = 287224288

Thus, we can understand that the LCM of 346,614,338,416 is 287224288.

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

• LCM of 973, 790, 302, 556
• LCM of 897, 127, 361, 800
• LCM of 644, 171, 605, 437
• LCM of 115, 978, 812, 739
• LCM of 282, 131, 844, 696

1. What is the LCM of 346, 614, 338, 416?

Answer: LCM of 346, 614, 338, 416 is 287224288.

2. How to calculate the LCM of 346, 614, 338, 416?

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 346, 614, 338, 416.

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}.