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LCM of 451, 897, 814, 167

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


Find the LCM of 451, 897, 814, 167 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 451, 897, 814, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,897,814,167

Given numbers are 451,897,814,167

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

The LCM of 451,897,814,167 is 4999391826.

Find LCM of 451,897,814,167 with Prime Factorization


11 451, 897, 814, 167
41, 897, 74, 167

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

11 x 41 x 897 x 74 x 167 = 4999391826

Therefore, the lowest common multiple of 451,897,814,167 is 4999391826.

LCM Formula to Find Lowest Common Multiple of 451,897,814,167

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.

451 x 897 x 814 x 167 = 54993310086

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.

451 : 1, 11, 41, 451

897 : 1, 3, 13, 23, 39, 69, 299, 897

814 : 1, 2, 11, 22, 37, 74, 407, 814

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,897,814,167, is 1.

Now, the common factors can be found like this.

451:11x 41

897:3x 13x 23

814:2x 11x 37

167:167

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

11 = 11

Therefore, the value for common factors is 11.

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 = 54993310086/(1x11)

LCM = 54993310086/11

LCM = 4999391826

Thus, we can understand that the LCM of 451,897,814,167 is 4999391826.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 451, 897, 814, 167

1. What is the LCM of 451, 897, 814, 167?

Answer: LCM of 451, 897, 814, 167 is 4999391826.

2. How to calculate the LCM of 451, 897, 814, 167?

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 451, 897, 814, 167.

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}.