Given numbers are 122,988,114,364

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

The LCM of 122,988,114,364 is 1265628.

Find LCM of 122,988,114,364 with Prime Factorization

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

2 x 2 x 13 x 19 x 61 x 1 x 3 x 7 = 1265628

Therefore, the lowest common multiple of 122,988,114,364 is 1265628.

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.

122 x 988 x 114 x 364 = 5001761856

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.

122 : 1, 2, 61, 122

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

114 : 1, 2, 3, 6, 19, 38, 57, 114

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,988,114,364, is 2.

Now, the common factors can be found like this.

122:2x 61

988:2x 2x 13x 19

114:2x 3x 19

364:2x 2x 7x 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 13x 19 = 1976

Therefore, the value for common factors is 1976.

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 = 5001761856/(2x1976)

LCM = 5001761856/3952

LCM = 1265628

Thus, we can understand that the LCM of 122,988,114,364 is 1265628.

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

• LCM of 937, 158, 280, 552
• LCM of 715, 724, 510, 876
• LCM of 710, 948, 437, 773
• LCM of 168, 683, 204, 425
• LCM of 725, 668, 394, 972

1. What is the LCM of 122, 988, 114, 364?

Answer: LCM of 122, 988, 114, 364 is 1265628.

2. How to calculate the LCM of 122, 988, 114, 364?

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 122, 988, 114, 364.

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}.