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LCM of 487, 484, 533, 319

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


Find the LCM of 487, 484, 533, 319 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 487, 484, 533, 319. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,484,533,319

Given numbers are 487,484,533,319

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

The LCM of 487,484,533,319 is 3643338556.

Find LCM of 487,484,533,319 with Prime Factorization


11 487, 484, 533, 319
487, 44, 533, 29

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

11 x 487 x 44 x 533 x 29 = 3643338556

Therefore, the lowest common multiple of 487,484,533,319 is 3643338556.

LCM Formula to Find Lowest Common Multiple of 487,484,533,319

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.

487 x 484 x 533 x 319 = 40076724116

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.

487 : 1, 487

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

533 : 1, 13, 41, 533

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,484,533,319, is 1.

Now, the common factors can be found like this.

487:487

484:2x 2x 11x 11

533:13x 41

319:11x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 40076724116/(1x11)

LCM = 40076724116/11

LCM = 3643338556

Thus, we can understand that the LCM of 487,484,533,319 is 3643338556.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 484, 533, 319

1. What is the LCM of 487, 484, 533, 319?

Answer: LCM of 487, 484, 533, 319 is 3643338556.

2. How to calculate the LCM of 487, 484, 533, 319?

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 487, 484, 533, 319.

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}.