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LCM of 825, 164, 814, 896, 456

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


Find the LCM of 825, 164, 814, 896, 456 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 825, 164, 814, 896, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,164,814,896,456

Given numbers are 825,164,814,896,456

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

The LCM of 825,164,814,896,456 is 21305961600.

Find LCM of 825,164,814,896,456 with Prime Factorization


2 825, 164, 814, 896, 456
2 825, 82, 407, 448, 228
2 825, 41, 407, 224, 114
3 825, 41, 407, 112, 57
11 275, 41, 407, 112, 19
25, 41, 37, 112, 19

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

2 x 2 x 2 x 3 x 11 x 25 x 41 x 37 x 112 x 19 = 21305961600

Therefore, the lowest common multiple of 825,164,814,896,456 is 21305961600.

LCM Formula to Find Lowest Common Multiple of 825,164,814,896,456

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.

825 x 164 x 814 x 896 x 456 = 44998190899200

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

164 : 1, 2, 4, 41, 82, 164

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

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,164,814,896,456, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

164:2x 2x 41

814:2x 11x 37

896:2x 2x 2x 2x 2x 2x 2x 7

456:2x 2x 2x 3x 19

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 2x 2x 2x 3x 11 = 2112

Therefore, the value for common factors is 2112.

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 = 44998190899200/(1x2112)

LCM = 44998190899200/2112

LCM = 21305961600

Thus, we can understand that the LCM of 825,164,814,896,456 is 21305961600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 164, 814, 896, 456

1. What is the LCM of 825, 164, 814, 896, 456?

Answer: LCM of 825, 164, 814, 896, 456 is 21305961600.

2. How to calculate the LCM of 825, 164, 814, 896, 456?

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 825, 164, 814, 896, 456.

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}.