Given numbers are 102,900,276,168,747

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

The LCM of 102,900,276,168,747 is 408907800.

Find LCM of 102,900,276,168,747 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 25 x 23 x 14 x 83 = 408907800

Therefore, the lowest common multiple of 102,900,276,168,747 is 408907800.

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 900 x 276 x 168 x 747 = 3179667052800

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

747 : 1, 3, 9, 83, 249, 747

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,900,276,168,747, is 3.

Now, the common factors can be found like this.

102:2x 3x 17

900:2x 2x 3x 3x 5x 5

276:2x 2x 3x 23

168:2x 2x 2x 3x 7

747:3x 3x 83

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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 3179667052800/(3x2592)

LCM = 3179667052800/7776

LCM = 408907800

Thus, we can understand that the LCM of 102,900,276,168,747 is 408907800.

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

• LCM of 392, 205, 536, 419, 868
• LCM of 556, 608, 198, 225, 142
• LCM of 355, 554, 333, 169, 125
• LCM of 892, 144, 808, 931, 441
• LCM of 369, 822, 772, 792, 975

1. What is the LCM of 102, 900, 276, 168, 747?

Answer: LCM of 102, 900, 276, 168, 747 is 408907800.

2. How to calculate the LCM of 102, 900, 276, 168, 747?

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, 900, 276, 168, 747.

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}.