Given numbers are 213,889,189,600,221

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

The LCM of 213,889,189,600,221 is 75326214600.

Find LCM of 213,889,189,600,221 with Prime Factorization

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

3 x 7 x 71 x 127 x 9 x 200 x 221 = 75326214600

Therefore, the lowest common multiple of 213,889,189,600,221 is 75326214600.

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.

213 x 889 x 189 x 600 x 221 = 4745551519800

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.

213 : 1, 3, 71, 213

889 : 1, 7, 127, 889

189 : 1, 3, 7, 9, 21, 27, 63, 189

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,889,189,600,221, is 1.

Now, the common factors can be found like this.

213:3x 71

889:7x 127

189:3x 3x 3x 7

600:2x 2x 2x 3x 5x 5

221:13x 17

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

3x 3x 7 = 63

Therefore, the value for common factors is 63.

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 = 4745551519800/(1x63)

LCM = 4745551519800/63

LCM = 75326214600

Thus, we can understand that the LCM of 213,889,189,600,221 is 75326214600.

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

• LCM of 238, 575, 728, 955, 271
• LCM of 499, 228, 830, 840, 278
• LCM of 708, 980, 353, 624, 455
• LCM of 841, 440, 519, 116, 748
• LCM of 519, 694, 819, 600, 118

1. What is the LCM of 213, 889, 189, 600, 221?

Answer: LCM of 213, 889, 189, 600, 221 is 75326214600.

2. How to calculate the LCM of 213, 889, 189, 600, 221?

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 213, 889, 189, 600, 221.

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}.