Given numbers are 148,840,107,104,214

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

The LCM of 148,840,107,104,214 is 43232280.

Find LCM of 148,840,107,104,214 with Prime Factorization

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

2 x 2 x 2 x 107 x 37 x 105 x 1 x 13 x 1 = 43232280

Therefore, the lowest common multiple of 148,840,107,104,214 is 43232280.

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.

148 x 840 x 107 x 104 x 214 = 296054653440

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.

148 : 1, 2, 4, 37, 74, 148

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

107 : 1, 107

104 : 1, 2, 4, 8, 13, 26, 52, 104

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,840,107,104,214, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

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

107:107

104:2x 2x 2x 13

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 2x 2x 2x 2x 2x 107 = 6848

Therefore, the value for common factors is 6848.

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 = 296054653440/(1x6848)

LCM = 296054653440/6848

LCM = 43232280

Thus, we can understand that the LCM of 148,840,107,104,214 is 43232280.

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

• LCM of 886, 690, 143, 750, 950
• LCM of 960, 818, 794, 185, 402
• LCM of 246, 253, 542, 732, 190
• LCM of 471, 861, 462, 308, 131
• LCM of 862, 809, 474, 860, 203

1. What is the LCM of 148, 840, 107, 104, 214?

Answer: LCM of 148, 840, 107, 104, 214 is 43232280.

2. How to calculate the LCM of 148, 840, 107, 104, 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 148, 840, 107, 104, 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}.