Given numbers are 278,814,149

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

The LCM of 278,814,149 is 16858754.

Find LCM of 278,814,149 with Prime Factorization

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

2 x 139 x 407 x 149 = 16858754

Therefore, the lowest common multiple of 278,814,149 is 16858754.

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.

278 x 814 x 149 = 33717508

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.

278 : 1, 2, 139, 278

814 : 1, 2, 11, 22, 37, 74, 407, 814

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,814,149, is 1.

Now, the common factors can be found like this.

278:2x 139

814:2x 11x 37

149:149

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33717508/(1x2)

LCM = 33717508/2

LCM = 16858754

Thus, we can understand that the LCM of 278,814,149 is 16858754.

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

• LCM of 561, 837, 960
• LCM of 980, 120, 550
• LCM of 526, 250, 499
• LCM of 416, 545, 380
• LCM of 309, 789, 235

1. What is the LCM of 278, 814, 149?

Answer: LCM of 278, 814, 149 is 16858754.

2. How to calculate the LCM of 278, 814, 149?

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 278, 814, 149.

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}.