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LCM of 892, 259, 934, 248

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 892, 259, 934, 248 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 892, 259, 934, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,259,934,248

Given numbers are 892,259,934,248

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

The LCM of 892,259,934,248 is 6689184712.

Find LCM of 892,259,934,248 with Prime Factorization


2 892, 259, 934, 248
2 446, 259, 467, 124
223, 259, 467, 62

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

2 x 2 x 223 x 259 x 467 x 62 = 6689184712

Therefore, the lowest common multiple of 892,259,934,248 is 6689184712.

LCM Formula to Find Lowest Common Multiple of 892,259,934,248

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 259 x 934 x 248 = 53513477696

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

259 : 1, 7, 37, 259

934 : 1, 2, 467, 934

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,259,934,248, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

259:7x 37

934:2x 467

248:2x 2x 2x 31

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 2 = 8

Therefore, the value for common factors is 8.

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 = 53513477696/(1x8)

LCM = 53513477696/8

LCM = 6689184712

Thus, we can understand that the LCM of 892,259,934,248 is 6689184712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 259, 934, 248

1. What is the LCM of 892, 259, 934, 248?

Answer: LCM of 892, 259, 934, 248 is 6689184712.

2. How to calculate the LCM of 892, 259, 934, 248?

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, 259, 934, 248.

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}.