Given numbers are 892,138,169,729

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

The LCM of 892,138,169,729 is 2527591716.

Find LCM of 892,138,169,729 with Prime Factorization

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

2 x 3 x 446 x 23 x 169 x 243 = 2527591716

Therefore, the lowest common multiple of 892,138,169,729 is 2527591716.

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 138 x 169 x 729 = 15165550296

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

169 : 1, 13, 169

729 : 1, 3, 9, 27, 81, 243, 729

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,138,169,729, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

138:2x 3x 23

169:13x 13

729:3x 3x 3x 3x 3x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 15165550296/(1x6)

LCM = 15165550296/6

LCM = 2527591716

Thus, we can understand that the LCM of 892,138,169,729 is 2527591716.

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

• LCM of 314, 741, 991, 555
• LCM of 524, 780, 424, 318
• LCM of 995, 992, 453, 262
• LCM of 539, 982, 159, 568
• LCM of 553, 301, 466, 792

1. What is the LCM of 892, 138, 169, 729?

Answer: LCM of 892, 138, 169, 729 is 2527591716.

2. How to calculate the LCM of 892, 138, 169, 729?

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, 138, 169, 729.

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}.