Given numbers are 210,736,214

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

The LCM of 210,736,214 is 8268960.

Find LCM of 210,736,214 with Prime Factorization

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

2 x 105 x 368 x 107 = 8268960

Therefore, the lowest common multiple of 210,736,214 is 8268960.

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.

210 x 736 x 214 = 33075840

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.

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,736,214, is 2.

Now, the common factors can be found like this.

210:2x 3x 5x 7

736:2x 2x 2x 2x 2x 23

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 = 33075840/(2x2)

LCM = 33075840/4

LCM = 8268960

Thus, we can understand that the LCM of 210,736,214 is 8268960.

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

• LCM of 276, 133, 473
• LCM of 753, 318, 243
• LCM of 909, 871, 638
• LCM of 703, 948, 672
• LCM of 194, 166, 262

1. What is the LCM of 210, 736, 214?

Answer: LCM of 210, 736, 214 is 8268960.

2. How to calculate the LCM of 210, 736, 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 210, 736, 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}.