Given numbers are 892,114,122,121

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

The LCM of 892,114,122,121 is 375279564.

Find LCM of 892,114,122,121 with Prime Factorization

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

2 x 446 x 57 x 61 x 121 = 375279564

Therefore, the lowest common multiple of 892,114,122,121 is 375279564.

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 114 x 122 x 121 = 1501118256

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

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

122 : 1, 2, 61, 122

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,114,122,121, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

114:2x 3x 19

122:2x 61

121:11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1501118256/(1x4)

LCM = 1501118256/4

LCM = 375279564

Thus, we can understand that the LCM of 892,114,122,121 is 375279564.

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

• LCM of 483, 385, 656, 655
• LCM of 496, 815, 709, 322
• LCM of 843, 840, 533, 570
• LCM of 561, 101, 962, 398
• LCM of 246, 537, 885, 204

1. What is the LCM of 892, 114, 122, 121?

Answer: LCM of 892, 114, 122, 121 is 375279564.

2. How to calculate the LCM of 892, 114, 122, 121?

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, 114, 122, 121.

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}.