Given numbers are 471,195,246,214

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

The LCM of 471,195,246,214 is 268616010.

Find LCM of 471,195,246,214 with Prime Factorization

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

2 x 3 x 157 x 65 x 41 x 107 = 268616010

Therefore, the lowest common multiple of 471,195,246,214 is 268616010.

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.

471 x 195 x 246 x 214 = 4835088180

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.

471 : 1, 3, 157, 471

195 : 1, 3, 5, 13, 15, 39, 65, 195

246 : 1, 2, 3, 6, 41, 82, 123, 246

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,195,246,214, is 1.

Now, the common factors can be found like this.

471:3x 157

195:3x 5x 13

246:2x 3x 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.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 4835088180/(1x18)

LCM = 4835088180/18

LCM = 268616010

Thus, we can understand that the LCM of 471,195,246,214 is 268616010.

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

• LCM of 907, 235, 113, 154
• LCM of 120, 822, 434, 589
• LCM of 761, 289, 906, 978
• LCM of 532, 556, 146, 978
• LCM of 963, 279, 253, 600

1. What is the LCM of 471, 195, 246, 214?

Answer: LCM of 471, 195, 246, 214 is 268616010.

2. How to calculate the LCM of 471, 195, 246, 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 471, 195, 246, 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}.