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LCM of 284, 981, 720, 387

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


Find the LCM of 284, 981, 720, 387 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 284, 981, 720, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 284,981,720,387

Given numbers are 284,981,720,387

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

The LCM of 284,981,720,387 is 239599440.

Find LCM of 284,981,720,387 with Prime Factorization


2 284, 981, 720, 387
2 142, 981, 360, 387
3 71, 981, 180, 387
3 71, 327, 60, 129
71, 109, 20, 43

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

2 x 2 x 3 x 3 x 71 x 109 x 20 x 43 = 239599440

Therefore, the lowest common multiple of 284,981,720,387 is 239599440.

LCM Formula to Find Lowest Common Multiple of 284,981,720,387

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.

284 x 981 x 720 x 387 = 77630218560

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.

284 : 1, 2, 4, 71, 142, 284

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,981,720,387, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

981:3x 3x 109

720:2x 2x 2x 2x 3x 3x 5

387:3x 3x 43

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 77630218560/(1x324)

LCM = 77630218560/324

LCM = 239599440

Thus, we can understand that the LCM of 284,981,720,387 is 239599440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 284, 981, 720, 387

1. What is the LCM of 284, 981, 720, 387?

Answer: LCM of 284, 981, 720, 387 is 239599440.

2. How to calculate the LCM of 284, 981, 720, 387?

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 284, 981, 720, 387.

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}.