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LCM of 899, 912, 867, 824, 471

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


Find the LCM of 899, 912, 867, 824, 471 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 899, 912, 867, 824, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 899,912,867,824,471

Given numbers are 899,912,867,824,471

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

The LCM of 899,912,867,824,471 is 3831680157072.

Find LCM of 899,912,867,824,471 with Prime Factorization


2 899, 912, 867, 824, 471
2 899, 456, 867, 412, 471
2 899, 228, 867, 206, 471
3 899, 114, 867, 103, 471
899, 38, 289, 103, 157

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

2 x 2 x 2 x 3 x 899 x 38 x 289 x 103 x 157 = 3831680157072

Therefore, the lowest common multiple of 899,912,867,824,471 is 3831680157072.

LCM Formula to Find Lowest Common Multiple of 899,912,867,824,471

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.

899 x 912 x 867 x 824 x 471 = 275880971309184

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.

899 : 1, 29, 31, 899

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

867 : 1, 3, 17, 51, 289, 867

824 : 1, 2, 4, 8, 103, 206, 412, 824

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,912,867,824,471, is 1.

Now, the common factors can be found like this.

899:29x 31

912:2x 2x 2x 2x 3x 19

867:3x 17x 17

824:2x 2x 2x 103

471:3x 157

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 275880971309184/(1x72)

LCM = 275880971309184/72

LCM = 3831680157072

Thus, we can understand that the LCM of 899,912,867,824,471 is 3831680157072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 899, 912, 867, 824, 471

1. What is the LCM of 899, 912, 867, 824, 471?

Answer: LCM of 899, 912, 867, 824, 471 is 3831680157072.

2. How to calculate the LCM of 899, 912, 867, 824, 471?

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 899, 912, 867, 824, 471.

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}.