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LCM of 814, 321, 963, 894

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


Find the LCM of 814, 321, 963, 894 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 814, 321, 963, 894. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,321,963,894

Given numbers are 814,321,963,894

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

The LCM of 814,321,963,894 is 116798418.

Find LCM of 814,321,963,894 with Prime Factorization


2 814, 321, 963, 894
3 407, 321, 963, 447
107 407, 107, 321, 149
407, 1, 3, 149

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

2 x 3 x 107 x 407 x 1 x 3 x 149 = 116798418

Therefore, the lowest common multiple of 814,321,963,894 is 116798418.

LCM Formula to Find Lowest Common Multiple of 814,321,963,894

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.

814 x 321 x 963 x 894 = 224953753068

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

321 : 1, 3, 107, 321

963 : 1, 3, 9, 107, 321, 963

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,321,963,894, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

321:3x 107

963:3x 3x 107

894:2x 3x 149

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

2x 3x 3x 107 = 1926

Therefore, the value for common factors is 1926.

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 = 224953753068/(1x1926)

LCM = 224953753068/1926

LCM = 116798418

Thus, we can understand that the LCM of 814,321,963,894 is 116798418.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 321, 963, 894

1. What is the LCM of 814, 321, 963, 894?

Answer: LCM of 814, 321, 963, 894 is 116798418.

2. How to calculate the LCM of 814, 321, 963, 894?

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 814, 321, 963, 894.

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}.