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LCM of 816, 127, 537, 127, 896

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


Find the LCM of 816, 127, 537, 127, 896 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 816, 127, 537, 127, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,127,537,127,896

Given numbers are 816,127,537,127,896

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

The LCM of 816,127,537,127,896 is 1038807168.

Find LCM of 816,127,537,127,896 with Prime Factorization


2 816, 127, 537, 127, 896
2 408, 127, 537, 127, 448
2 204, 127, 537, 127, 224
2 102, 127, 537, 127, 112
3 51, 127, 537, 127, 56
127 17, 127, 179, 127, 56
17, 1, 179, 1, 56

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

2 x 2 x 2 x 2 x 3 x 127 x 17 x 1 x 179 x 1 x 56 = 1038807168

Therefore, the lowest common multiple of 816,127,537,127,896 is 1038807168.

LCM Formula to Find Lowest Common Multiple of 816,127,537,127,896

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.

816 x 127 x 537 x 127 x 896 = 6332568496128

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

127 : 1, 127

537 : 1, 3, 179, 537

127 : 1, 127

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,127,537,127,896, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

127:127

537:3x 179

127:127

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

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 3x 127 = 6096

Therefore, the value for common factors is 6096.

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 = 6332568496128/(1x6096)

LCM = 6332568496128/6096

LCM = 1038807168

Thus, we can understand that the LCM of 816,127,537,127,896 is 1038807168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 127, 537, 127, 896

1. What is the LCM of 816, 127, 537, 127, 896?

Answer: LCM of 816, 127, 537, 127, 896 is 1038807168.

2. How to calculate the LCM of 816, 127, 537, 127, 896?

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 816, 127, 537, 127, 896.

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}.