Given numbers are 892,120,172,269

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

The LCM of 892,120,172,269 is 309532920.

Find LCM of 892,120,172,269 with Prime Factorization

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

2 x 2 x 223 x 30 x 43 x 269 = 309532920

Therefore, the lowest common multiple of 892,120,172,269 is 309532920.

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 120 x 172 x 269 = 4952526720

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

172 : 1, 2, 4, 43, 86, 172

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,120,172,269, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

120:2x 2x 2x 3x 5

172:2x 2x 43

269:269

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4952526720/(1x16)

LCM = 4952526720/16

LCM = 309532920

Thus, we can understand that the LCM of 892,120,172,269 is 309532920.

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

• LCM of 705, 671, 240, 882
• LCM of 124, 658, 313, 879
• LCM of 162, 496, 774, 656
• LCM of 510, 687, 990, 571
• LCM of 458, 830, 180, 488

1. What is the LCM of 892, 120, 172, 269?

Answer: LCM of 892, 120, 172, 269 is 309532920.

2. How to calculate the LCM of 892, 120, 172, 269?

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, 120, 172, 269.

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}.