Given numbers are 231,193,471,30

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

The LCM of 231,193,471,30 is 69995310.

Find LCM of 231,193,471,30 with Prime Factorization

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

3 x 77 x 193 x 157 x 10 = 69995310

Therefore, the lowest common multiple of 231,193,471,30 is 69995310.

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.

231 x 193 x 471 x 30 = 629957790

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

193 : 1, 193

471 : 1, 3, 157, 471

30 : 1, 2, 3, 5, 6, 10, 15, 30

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,193,471,30, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

193:193

471:3x 157

30:2x 3x 5

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 629957790/(1x9)

LCM = 629957790/9

LCM = 69995310

Thus, we can understand that the LCM of 231,193,471,30 is 69995310.

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

• LCM of 340, 808, 672, 97
• LCM of 297, 534, 474, 90
• LCM of 998, 598, 971, 65
• LCM of 669, 337, 566, 86
• LCM of 391, 998, 363, 69

1. What is the LCM of 231, 193, 471, 30?

Answer: LCM of 231, 193, 471, 30 is 69995310.

2. How to calculate the LCM of 231, 193, 471, 30?

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 231, 193, 471, 30.

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}.