Given numbers are 214,242,198,341

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

The LCM of 214,242,198,341 is 7224426.

Find LCM of 214,242,198,341 with Prime Factorization

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

2 x 11 x 107 x 11 x 9 x 31 = 7224426

Therefore, the lowest common multiple of 214,242,198,341 is 7224426.

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 242 x 198 x 341 = 3496622184

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

242 : 1, 2, 11, 22, 121, 242

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,242,198,341, is 1.

Now, the common factors can be found like this.

214:2x 107

242:2x 11x 11

198:2x 3x 3x 11

341:11x 31

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 11x 11 = 484

Therefore, the value for common factors is 484.

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 = 3496622184/(1x484)

LCM = 3496622184/484

LCM = 7224426

Thus, we can understand that the LCM of 214,242,198,341 is 7224426.

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

• LCM of 538, 886, 831, 841
• LCM of 681, 526, 571, 391
• LCM of 879, 613, 689, 121
• LCM of 172, 679, 897, 280
• LCM of 766, 319, 801, 186

1. What is the LCM of 214, 242, 198, 341?

Answer: LCM of 214, 242, 198, 341 is 7224426.

2. How to calculate the LCM of 214, 242, 198, 341?

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, 242, 198, 341.

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}.