Given numbers are 154,41,214

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

The LCM of 154,41,214 is 675598.

Find LCM of 154,41,214 with Prime Factorization

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

2 x 77 x 41 x 107 = 675598

Therefore, the lowest common multiple of 154,41,214 is 675598.

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.

154 x 41 x 214 = 1351196

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

41 : 1, 41

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,41,214, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

41:41

214:2x 107

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 = 1351196/(1x2)

LCM = 1351196/2

LCM = 675598

Thus, we can understand that the LCM of 154,41,214 is 675598.

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

• LCM of 893, 31, 975
• LCM of 366, 62, 185
• LCM of 137, 71, 287
• LCM of 213, 93, 364
• LCM of 172, 92, 365

1. What is the LCM of 154, 41, 214?

Answer: LCM of 154, 41, 214 is 675598.

2. How to calculate the LCM of 154, 41, 214?

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 154, 41, 214.

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}.