Given numbers are 209,178,132,215

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

The LCM of 209,178,132,215 is 47990580.

Find LCM of 209,178,132,215 with Prime Factorization

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

2 x 11 x 19 x 89 x 6 x 215 = 47990580

Therefore, the lowest common multiple of 209,178,132,215 is 47990580.

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.

209 x 178 x 132 x 215 = 1055792760

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.

209 : 1, 11, 19, 209

178 : 1, 2, 89, 178

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,178,132,215, is 1.

Now, the common factors can be found like this.

209:11x 19

178:2x 89

132:2x 2x 3x 11

215:5x 43

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 1055792760/(1x22)

LCM = 1055792760/22

LCM = 47990580

Thus, we can understand that the LCM of 209,178,132,215 is 47990580.

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

• LCM of 811, 222, 471, 164
• LCM of 930, 620, 925, 484
• LCM of 110, 775, 945, 394
• LCM of 682, 145, 843, 437
• LCM of 644, 184, 344, 428

1. What is the LCM of 209, 178, 132, 215?

Answer: LCM of 209, 178, 132, 215 is 47990580.

2. How to calculate the LCM of 209, 178, 132, 215?

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 209, 178, 132, 215.

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}.