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LCM of 283, 595, 385

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


Find the LCM of 283, 595, 385 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, 595, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,595,385

Given numbers are 283,595,385

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

The LCM of 283,595,385 is 1852235.

Find LCM of 283,595,385 with Prime Factorization


5 283, 595, 385
7 283, 119, 77
283, 17, 11

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

5 x 7 x 283 x 17 x 11 = 1852235

Therefore, the lowest common multiple of 283,595,385 is 1852235.

LCM Formula to Find Lowest Common Multiple of 283,595,385

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 595 x 385 = 64828225

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,595,385, is 1.

Now, the common factors can be found like this.

283:283

595:5x 7x 17

385:5x 7x 11

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 64828225/(1x35)

LCM = 64828225/35

LCM = 1852235

Thus, we can understand that the LCM of 283,595,385 is 1852235.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 283, 595, 385

1. What is the LCM of 283, 595, 385?

Answer: LCM of 283, 595, 385 is 1852235.

2. How to calculate the LCM of 283, 595, 385?

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, 595, 385.

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}.