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LCM of 881, 278, 394, 377, 816

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


Find the LCM of 881, 278, 394, 377, 816 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 881, 278, 394, 377, 816. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,278,394,377,816

Given numbers are 881,278,394,377,816

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

The LCM of 881,278,394,377,816 is 7421444496336.

Find LCM of 881,278,394,377,816 with Prime Factorization


2 881, 278, 394, 377, 816
881, 139, 197, 377, 408

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

2 x 881 x 139 x 197 x 377 x 408 = 7421444496336

Therefore, the lowest common multiple of 881,278,394,377,816 is 7421444496336.

LCM Formula to Find Lowest Common Multiple of 881,278,394,377,816

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.

881 x 278 x 394 x 377 x 816 = 29685777985344

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.

881 : 1, 881

278 : 1, 2, 139, 278

394 : 1, 2, 197, 394

377 : 1, 13, 29, 377

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,278,394,377,816, is 1.

Now, the common factors can be found like this.

881:881

278:2x 139

394:2x 197

377:13x 29

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

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29685777985344/(1x4)

LCM = 29685777985344/4

LCM = 7421444496336

Thus, we can understand that the LCM of 881,278,394,377,816 is 7421444496336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 278, 394, 377, 816

1. What is the LCM of 881, 278, 394, 377, 816?

Answer: LCM of 881, 278, 394, 377, 816 is 7421444496336.

2. How to calculate the LCM of 881, 278, 394, 377, 816?

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 881, 278, 394, 377, 816.

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}.