Given numbers are 214,257,840,738

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

The LCM of 214,257,840,738 is 2841196680.

Find LCM of 214,257,840,738 with Prime Factorization

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

2 x 3 x 107 x 257 x 140 x 123 = 2841196680

Therefore, the lowest common multiple of 214,257,840,738 is 2841196680.

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 257 x 840 x 738 = 34094360160

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

257 : 1, 257

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,257,840,738, is 1.

Now, the common factors can be found like this.

214:2x 107

257:257

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

738:2x 3x 3x 41

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 34094360160/(1x12)

LCM = 34094360160/12

LCM = 2841196680

Thus, we can understand that the LCM of 214,257,840,738 is 2841196680.

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

• LCM of 471, 899, 919, 542
• LCM of 349, 700, 295, 100
• LCM of 328, 485, 684, 147
• LCM of 109, 504, 947, 186
• LCM of 872, 986, 439, 690

1. What is the LCM of 214, 257, 840, 738?

Answer: LCM of 214, 257, 840, 738 is 2841196680.

2. How to calculate the LCM of 214, 257, 840, 738?

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, 257, 840, 738.

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}.