Given numbers are 378,353,208,26

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

The LCM of 378,353,208,26 is 13877136.

Find LCM of 378,353,208,26 with Prime Factorization

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

2 x 13 x 189 x 353 x 8 x 1 = 13877136

Therefore, the lowest common multiple of 378,353,208,26 is 13877136.

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.

378 x 353 x 208 x 26 = 721611072

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

353 : 1, 353

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

26 : 1, 2, 13, 26

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,353,208,26, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

353:353

208:2x 2x 2x 2x 13

26:2x 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 = 721611072/(1x52)

LCM = 721611072/52

LCM = 13877136

Thus, we can understand that the LCM of 378,353,208,26 is 13877136.

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

• LCM of 747, 259, 928, 97
• LCM of 788, 993, 676, 32
• LCM of 368, 276, 526, 80
• LCM of 655, 364, 457, 73
• LCM of 395, 270, 825, 81

1. What is the LCM of 378, 353, 208, 26?

Answer: LCM of 378, 353, 208, 26 is 13877136.

2. How to calculate the LCM of 378, 353, 208, 26?

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 378, 353, 208, 26.

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}.