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LCM of 896, 361, 386, 963

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


Find the LCM of 896, 361, 386, 963 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 896, 361, 386, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,361,386,963

Given numbers are 896,361,386,963

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

The LCM of 896,361,386,963 is 60117208704.

Find LCM of 896,361,386,963 with Prime Factorization


2 896, 361, 386, 963
448, 361, 193, 963

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

2 x 448 x 361 x 193 x 963 = 60117208704

Therefore, the lowest common multiple of 896,361,386,963 is 60117208704.

LCM Formula to Find Lowest Common Multiple of 896,361,386,963

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.

896 x 361 x 386 x 963 = 120234417408

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

361 : 1, 19, 361

386 : 1, 2, 193, 386

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,361,386,963, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

361:19x 19

386:2x 193

963:3x 3x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 120234417408/(1x2)

LCM = 120234417408/2

LCM = 60117208704

Thus, we can understand that the LCM of 896,361,386,963 is 60117208704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 361, 386, 963

1. What is the LCM of 896, 361, 386, 963?

Answer: LCM of 896, 361, 386, 963 is 60117208704.

2. How to calculate the LCM of 896, 361, 386, 963?

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 896, 361, 386, 963.

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}.