Given numbers are 102,144,649,228,169

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

The LCM of 102,144,649,228,169 is 5101482672.

Find LCM of 102,144,649,228,169 with Prime Factorization

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

2 x 2 x 3 x 17 x 12 x 649 x 19 x 169 = 5101482672

Therefore, the lowest common multiple of 102,144,649,228,169 is 5101482672.

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.

102 x 144 x 649 x 228 x 169 = 367306752384

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

649 : 1, 11, 59, 649

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,144,649,228,169, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

144:2x 2x 2x 2x 3x 3

649:11x 59

228:2x 2x 3x 19

169:13x 13

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 367306752384/(1x72)

LCM = 367306752384/72

LCM = 5101482672

Thus, we can understand that the LCM of 102,144,649,228,169 is 5101482672.

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

• LCM of 435, 903, 817, 997, 246
• LCM of 554, 527, 303, 307, 921
• LCM of 545, 489, 188, 707, 273
• LCM of 138, 223, 567, 407, 825
• LCM of 254, 569, 269, 385, 580

1. What is the LCM of 102, 144, 649, 228, 169?

Answer: LCM of 102, 144, 649, 228, 169 is 5101482672.

2. How to calculate the LCM of 102, 144, 649, 228, 169?

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 102, 144, 649, 228, 169.

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}.