Given numbers are 214,298,259,148

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

The LCM of 214,298,259,148 is 16516948.

Find LCM of 214,298,259,148 with Prime Factorization

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

2 x 37 x 107 x 149 x 7 x 2 = 16516948

Therefore, the lowest common multiple of 214,298,259,148 is 16516948.

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.

214 x 298 x 259 x 148 = 2444508304

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.

214 : 1, 2, 107, 214

298 : 1, 2, 149, 298

259 : 1, 7, 37, 259

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,298,259,148, is 1.

Now, the common factors can be found like this.

214:2x 107

298:2x 149

259:7x 37

148:2x 2x 37

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 37 = 148

Therefore, the value for common factors is 148.

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 = 2444508304/(1x148)

LCM = 2444508304/148

LCM = 16516948

Thus, we can understand that the LCM of 214,298,259,148 is 16516948.

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

• LCM of 308, 955, 838, 329
• LCM of 894, 496, 163, 956
• LCM of 860, 643, 330, 315
• LCM of 216, 347, 170, 226
• LCM of 968, 507, 906, 943

1. What is the LCM of 214, 298, 259, 148?

Answer: LCM of 214, 298, 259, 148 is 16516948.

2. How to calculate the LCM of 214, 298, 259, 148?

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 214, 298, 259, 148.

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}.