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LCM of 283, 994, 552, 460

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


Find the LCM of 283, 994, 552, 460 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 283, 994, 552, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,994,552,460

Given numbers are 283,994,552,460

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

The LCM of 283,994,552,460 is 388196760.

Find LCM of 283,994,552,460 with Prime Factorization


2 283, 994, 552, 460
2 283, 497, 276, 230
23 283, 497, 138, 115
283, 497, 6, 5

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

2 x 2 x 23 x 283 x 497 x 6 x 5 = 388196760

Therefore, the lowest common multiple of 283,994,552,460 is 388196760.

LCM Formula to Find Lowest Common Multiple of 283,994,552,460

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.

283 x 994 x 552 x 460 = 71428203840

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.

283 : 1, 283

994 : 1, 2, 7, 14, 71, 142, 497, 994

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,994,552,460, is 1.

Now, the common factors can be found like this.

283:283

994:2x 7x 71

552:2x 2x 2x 3x 23

460:2x 2x 5x 23

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 23 = 184

Therefore, the value for common factors is 184.

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 = 71428203840/(1x184)

LCM = 71428203840/184

LCM = 388196760

Thus, we can understand that the LCM of 283,994,552,460 is 388196760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 994, 552, 460

1. What is the LCM of 283, 994, 552, 460?

Answer: LCM of 283, 994, 552, 460 is 388196760.

2. How to calculate the LCM of 283, 994, 552, 460?

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 283, 994, 552, 460.

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}.