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LCM of 892, 445, 163, 267

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


Find the LCM of 892, 445, 163, 267 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, 445, 163, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,445,163,267

Given numbers are 892,445,163,267

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

The LCM of 892,445,163,267 is 194103660.

Find LCM of 892,445,163,267 with Prime Factorization


89 892, 445, 163, 267
892, 5, 163, 3

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

89 x 892 x 5 x 163 x 3 = 194103660

Therefore, the lowest common multiple of 892,445,163,267 is 194103660.

LCM Formula to Find Lowest Common Multiple of 892,445,163,267

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 445 x 163 x 267 = 17275225740

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

445 : 1, 5, 89, 445

163 : 1, 163

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,445,163,267, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

445:5x 89

163:163

267:3x 89

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

89 = 89

Therefore, the value for common factors is 89.

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 = 17275225740/(1x89)

LCM = 17275225740/89

LCM = 194103660

Thus, we can understand that the LCM of 892,445,163,267 is 194103660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 445, 163, 267

1. What is the LCM of 892, 445, 163, 267?

Answer: LCM of 892, 445, 163, 267 is 194103660.

2. How to calculate the LCM of 892, 445, 163, 267?

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, 445, 163, 267.

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}.