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LCM of 816, 437, 981, 445

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


Find the LCM of 816, 437, 981, 445 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, 437, 981, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,437,981,445

Given numbers are 816,437,981,445

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

The LCM of 816,437,981,445 is 51889484880.

Find LCM of 816,437,981,445 with Prime Factorization


3 816, 437, 981, 445
272, 437, 327, 445

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

3 x 272 x 437 x 327 x 445 = 51889484880

Therefore, the lowest common multiple of 816,437,981,445 is 51889484880.

LCM Formula to Find Lowest Common Multiple of 816,437,981,445

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 437 x 981 x 445 = 155668454640

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

437 : 1, 19, 23, 437

981 : 1, 3, 9, 109, 327, 981

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,437,981,445, is 1.

Now, the common factors can be found like this.

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

437:19x 23

981:3x 3x 109

445:5x 89

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

3 = 3

Therefore, the value for common factors is 3.

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 = 155668454640/(1x3)

LCM = 155668454640/3

LCM = 51889484880

Thus, we can understand that the LCM of 816,437,981,445 is 51889484880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 437, 981, 445

1. What is the LCM of 816, 437, 981, 445?

Answer: LCM of 816, 437, 981, 445 is 51889484880.

2. How to calculate the LCM of 816, 437, 981, 445?

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, 437, 981, 445.

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}.