Given numbers are 297,122,176,976

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

The LCM of 297,122,176,976 is 289872.

Find LCM of 297,122,176,976 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 61 x 27 x 1 x 1 x 1 = 289872

Therefore, the lowest common multiple of 297,122,176,976 is 289872.

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.

297 x 122 x 176 x 976 = 6224131584

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

122 : 1, 2, 61, 122

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,122,176,976, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

122:2x 61

176:2x 2x 2x 2x 11

976:2x 2x 2x 2x 61

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 11x 61 = 21472

Therefore, the value for common factors is 21472.

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 = 6224131584/(1x21472)

LCM = 6224131584/21472

LCM = 289872

Thus, we can understand that the LCM of 297,122,176,976 is 289872.

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

• LCM of 808, 700, 385, 791
• LCM of 975, 678, 424, 174
• LCM of 229, 617, 737, 546
• LCM of 674, 525, 993, 234
• LCM of 755, 997, 490, 570

1. What is the LCM of 297, 122, 176, 976?

Answer: LCM of 297, 122, 176, 976 is 289872.

2. How to calculate the LCM of 297, 122, 176, 976?

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 297, 122, 176, 976.

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}.