Given numbers are 648,409,214

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

The LCM of 648,409,214 is 28358424.

Find LCM of 648,409,214 with Prime Factorization

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

2 x 324 x 409 x 107 = 28358424

Therefore, the lowest common multiple of 648,409,214 is 28358424.

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.

648 x 409 x 214 = 56716848

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

409 : 1, 409

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,409,214, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

409:409

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 56716848/(1x2)

LCM = 56716848/2

LCM = 28358424

Thus, we can understand that the LCM of 648,409,214 is 28358424.

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

• LCM of 971, 735, 273
• LCM of 349, 705, 157
• LCM of 155, 738, 884
• LCM of 903, 374, 167
• LCM of 630, 376, 224

1. What is the LCM of 648, 409, 214?

Answer: LCM of 648, 409, 214 is 28358424.

2. How to calculate the LCM of 648, 409, 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 648, 409, 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}.