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LCM of 893, 736, 234, 866, 863

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


Find the LCM of 893, 736, 234, 866, 863 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, 736, 234, 866, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,736,234,866,863

Given numbers are 893,736,234,866,863

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

The LCM of 893,736,234,866,863 is 28735173720864.

Find LCM of 893,736,234,866,863 with Prime Factorization


2 893, 736, 234, 866, 863
893, 368, 117, 433, 863

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

2 x 893 x 368 x 117 x 433 x 863 = 28735173720864

Therefore, the lowest common multiple of 893,736,234,866,863 is 28735173720864.

LCM Formula to Find Lowest Common Multiple of 893,736,234,866,863

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 736 x 234 x 866 x 863 = 114940694883456

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

866 : 1, 2, 433, 866

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,736,234,866,863, is 1.

Now, the common factors can be found like this.

893:19x 47

736:2x 2x 2x 2x 2x 23

234:2x 3x 3x 13

866:2x 433

863:863

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 = 114940694883456/(1x4)

LCM = 114940694883456/4

LCM = 28735173720864

Thus, we can understand that the LCM of 893,736,234,866,863 is 28735173720864.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 736, 234, 866, 863

1. What is the LCM of 893, 736, 234, 866, 863?

Answer: LCM of 893, 736, 234, 866, 863 is 28735173720864.

2. How to calculate the LCM of 893, 736, 234, 866, 863?

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, 736, 234, 866, 863.

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}.