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LCM of 893, 436, 861, 327

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


Find the LCM of 893, 436, 861, 327 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 893, 436, 861, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,436,861,327

Given numbers are 893,436,861,327

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

The LCM of 893,436,861,327 is 335228628.

Find LCM of 893,436,861,327 with Prime Factorization


3 893, 436, 861, 327
109 893, 436, 287, 109
893, 4, 287, 1

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

3 x 109 x 893 x 4 x 287 x 1 = 335228628

Therefore, the lowest common multiple of 893,436,861,327 is 335228628.

LCM Formula to Find Lowest Common Multiple of 893,436,861,327

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.

893 x 436 x 861 x 327 = 109619761356

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.

893 : 1, 19, 47, 893

436 : 1, 2, 4, 109, 218, 436

861 : 1, 3, 7, 21, 41, 123, 287, 861

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,436,861,327, is 1.

Now, the common factors can be found like this.

893:19x 47

436:2x 2x 109

861:3x 7x 41

327:3x 109

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 109619761356/(1x327)

LCM = 109619761356/327

LCM = 335228628

Thus, we can understand that the LCM of 893,436,861,327 is 335228628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 436, 861, 327

1. What is the LCM of 893, 436, 861, 327?

Answer: LCM of 893, 436, 861, 327 is 335228628.

2. How to calculate the LCM of 893, 436, 861, 327?

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 893, 436, 861, 327.

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}.