Given numbers are 223,868,130,386,214

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

The LCM of 223,868,130,386,214 is 259823860660.

Find LCM of 223,868,130,386,214 with Prime Factorization

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

2 x 223 x 434 x 65 x 193 x 107 = 259823860660

Therefore, the lowest common multiple of 223,868,130,386,214 is 259823860660.

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.

223 x 868 x 130 x 386 x 214 = 2078590885280

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.

223 : 1, 223

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

130 : 1, 2, 5, 10, 13, 26, 65, 130

386 : 1, 2, 193, 386

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,868,130,386,214, is 1.

Now, the common factors can be found like this.

223:223

868:2x 2x 7x 31

130:2x 5x 13

386:2x 193

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 2 = 8

Therefore, the value for common factors is 8.

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 = 2078590885280/(1x8)

LCM = 2078590885280/8

LCM = 259823860660

Thus, we can understand that the LCM of 223,868,130,386,214 is 259823860660.

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

• LCM of 870, 882, 344, 100, 578
• LCM of 750, 353, 652, 190, 954
• LCM of 840, 690, 932, 305, 163
• LCM of 101, 131, 473, 676, 985
• LCM of 916, 196, 388, 803, 803

1. What is the LCM of 223, 868, 130, 386, 214?

Answer: LCM of 223, 868, 130, 386, 214 is 259823860660.

2. How to calculate the LCM of 223, 868, 130, 386, 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 223, 868, 130, 386, 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}.