Given numbers are 892,292,292,900

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

The LCM of 892,292,292,900 is 14651100.

Find LCM of 892,292,292,900 with Prime Factorization

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

2 x 2 x 73 x 223 x 1 x 1 x 225 = 14651100

Therefore, the lowest common multiple of 892,292,292,900 is 14651100.

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.

892 x 292 x 292 x 900 = 68449939200

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.

892 : 1, 2, 4, 223, 446, 892

292 : 1, 2, 4, 73, 146, 292

292 : 1, 2, 4, 73, 146, 292

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,292,292,900, is 4.

Now, the common factors can be found like this.

892:2x 2x 223

292:2x 2x 73

292:2x 2x 73

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

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 73 = 1168

Therefore, the value for common factors is 1168.

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 = 68449939200/(4x1168)

LCM = 68449939200/4672

LCM = 14651100

Thus, we can understand that the LCM of 892,292,292,900 is 14651100.

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

• LCM of 151, 727, 654, 905
• LCM of 456, 552, 559, 336
• LCM of 199, 423, 682, 957
• LCM of 649, 522, 730, 587
• LCM of 178, 983, 411, 690

1. What is the LCM of 892, 292, 292, 900?

Answer: LCM of 892, 292, 292, 900 is 14651100.

2. How to calculate the LCM of 892, 292, 292, 900?

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 892, 292, 292, 900.

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}.