Given numbers are 997,126,815,146,224

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

The LCM of 997,126,815,146,224 is 119582094240.

Find LCM of 997,126,815,146,224 with Prime Factorization

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

2 x 7 x 997 x 9 x 815 x 73 x 16 = 119582094240

Therefore, the lowest common multiple of 997,126,815,146,224 is 119582094240.

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.

997 x 126 x 815 x 146 x 224 = 3348298638720

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.

997 : 1, 997

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

815 : 1, 5, 163, 815

146 : 1, 2, 73, 146

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,126,815,146,224, is 1.

Now, the common factors can be found like this.

997:997

126:2x 3x 3x 7

815:5x 163

146:2x 73

224:2x 2x 2x 2x 2x 7

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 7 = 28

Therefore, the value for common factors is 28.

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 = 3348298638720/(1x28)

LCM = 3348298638720/28

LCM = 119582094240

Thus, we can understand that the LCM of 997,126,815,146,224 is 119582094240.

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

• LCM of 401, 316, 900, 972, 945
• LCM of 171, 741, 904, 445, 361
• LCM of 648, 870, 250, 565, 138
• LCM of 773, 405, 756, 619, 392
• LCM of 726, 117, 522, 559, 926

1. What is the LCM of 997, 126, 815, 146, 224?

Answer: LCM of 997, 126, 815, 146, 224 is 119582094240.

2. How to calculate the LCM of 997, 126, 815, 146, 224?

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 997, 126, 815, 146, 224.

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}.