Given numbers are 948,191,210,146,409

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

The LCM of 948,191,210,146,409 is 189215154660.

Find LCM of 948,191,210,146,409 with Prime Factorization

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

2 x 3 x 158 x 191 x 35 x 73 x 409 = 189215154660

Therefore, the lowest common multiple of 948,191,210,146,409 is 189215154660.

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.

948 x 191 x 210 x 146 x 409 = 2270581855920

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

191 : 1, 191

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

146 : 1, 2, 73, 146

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,191,210,146,409, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

191:191

210:2x 3x 5x 7

146:2x 73

409:409

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 3 = 12

Therefore, the value for common factors is 12.

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 = 2270581855920/(1x12)

LCM = 2270581855920/12

LCM = 189215154660

Thus, we can understand that the LCM of 948,191,210,146,409 is 189215154660.

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

• LCM of 932, 696, 341, 683, 720
• LCM of 499, 811, 573, 147, 412
• LCM of 349, 868, 869, 795, 686
• LCM of 714, 812, 625, 280, 335
• LCM of 380, 843, 479, 132, 389

1. What is the LCM of 948, 191, 210, 146, 409?

Answer: LCM of 948, 191, 210, 146, 409 is 189215154660.

2. How to calculate the LCM of 948, 191, 210, 146, 409?

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 948, 191, 210, 146, 409.

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}.