Given numbers are 214,127,131,696,210

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

The LCM of 214,127,131,696,210 is 43364673240.

Find LCM of 214,127,131,696,210 with Prime Factorization

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

2 x 3 x 107 x 127 x 131 x 116 x 35 = 43364673240

Therefore, the lowest common multiple of 214,127,131,696,210 is 43364673240.

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 127 x 131 x 696 x 210 = 520376078880

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

127 : 1, 127

131 : 1, 131

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,127,131,696,210, is 1.

Now, the common factors can be found like this.

214:2x 107

127:127

131:131

696:2x 2x 2x 3x 29

210:2x 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 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 = 520376078880/(1x12)

LCM = 520376078880/12

LCM = 43364673240

Thus, we can understand that the LCM of 214,127,131,696,210 is 43364673240.

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

• LCM of 470, 633, 238, 904, 283
• LCM of 450, 762, 222, 233, 914
• LCM of 968, 862, 836, 814, 899
• LCM of 845, 817, 110, 829, 706
• LCM of 771, 513, 315, 757, 792

1. What is the LCM of 214, 127, 131, 696, 210?

Answer: LCM of 214, 127, 131, 696, 210 is 43364673240.

2. How to calculate the LCM of 214, 127, 131, 696, 210?

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, 127, 131, 696, 210.

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}.