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LCM of 453, 384, 312, 981

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


Find the LCM of 453, 384, 312, 981 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 453, 384, 312, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 453,384,312,981

Given numbers are 453,384,312,981

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

The LCM of 453,384,312,981 is 246489984.

Find LCM of 453,384,312,981 with Prime Factorization


2 453, 384, 312, 981
2 453, 192, 156, 981
2 453, 96, 78, 981
3 453, 48, 39, 981
151, 16, 13, 327

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

2 x 2 x 2 x 3 x 151 x 16 x 13 x 327 = 246489984

Therefore, the lowest common multiple of 453,384,312,981 is 246489984.

LCM Formula to Find Lowest Common Multiple of 453,384,312,981

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.

453 x 384 x 312 x 981 = 53241836544

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.

453 : 1, 3, 151, 453

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

981 : 1, 3, 9, 109, 327, 981

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,384,312,981, is 3.

Now, the common factors can be found like this.

453:3x 151

384:2x 2x 2x 2x 2x 2x 2x 3

312:2x 2x 2x 3x 13

981:3x 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.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 53241836544/(3x72)

LCM = 53241836544/216

LCM = 246489984

Thus, we can understand that the LCM of 453,384,312,981 is 246489984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 453, 384, 312, 981

1. What is the LCM of 453, 384, 312, 981?

Answer: LCM of 453, 384, 312, 981 is 246489984.

2. How to calculate the LCM of 453, 384, 312, 981?

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 453, 384, 312, 981.

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}.