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LCM of 310, 314, 283, 203, 482

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


Find the LCM of 310, 314, 283, 203, 482 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 310, 314, 283, 203, 482. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,314,283,203,482

Given numbers are 310,314,283,203,482

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

The LCM of 310,314,283,203,482 is 673846322030.

Find LCM of 310,314,283,203,482 with Prime Factorization


2 310, 314, 283, 203, 482
155, 157, 283, 203, 241

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

2 x 155 x 157 x 283 x 203 x 241 = 673846322030

Therefore, the lowest common multiple of 310,314,283,203,482 is 673846322030.

LCM Formula to Find Lowest Common Multiple of 310,314,283,203,482

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.

310 x 314 x 283 x 203 x 482 = 2695385288120

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

314 : 1, 2, 157, 314

283 : 1, 283

203 : 1, 7, 29, 203

482 : 1, 2, 241, 482

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,314,283,203,482, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

314:2x 157

283:283

203:7x 29

482:2x 241

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2695385288120/(1x4)

LCM = 2695385288120/4

LCM = 673846322030

Thus, we can understand that the LCM of 310,314,283,203,482 is 673846322030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 314, 283, 203, 482

1. What is the LCM of 310, 314, 283, 203, 482?

Answer: LCM of 310, 314, 283, 203, 482 is 673846322030.

2. How to calculate the LCM of 310, 314, 283, 203, 482?

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 310, 314, 283, 203, 482.

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}.