Given numbers are 214,214,840

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

The LCM of 214,214,840 is 89880.

Find LCM of 214,214,840 with Prime Factorization

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

2 x 107 x 1 x 1 x 420 = 89880

Therefore, the lowest common multiple of 214,214,840 is 89880.

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.

214 x 214 x 840 = 38468640

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.

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,214,840, is 2.

Now, the common factors can be found like this.

214:2x 107

214:2x 107

840:2x 2x 2x 3x 5x 7

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 38468640/(2x214)

LCM = 38468640/428

LCM = 89880

Thus, we can understand that the LCM of 214,214,840 is 89880.

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

• LCM of 856, 478, 517
• LCM of 290, 910, 622
• LCM of 679, 742, 219
• LCM of 282, 231, 847
• LCM of 211, 780, 433

1. What is the LCM of 214, 214, 840?

Answer: LCM of 214, 214, 840 is 89880.

2. How to calculate the LCM of 214, 214, 840?

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 214, 214, 840.

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}.