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LCM of 487, 852, 396, 543, 380

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


Find the LCM of 487, 852, 396, 543, 380 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, 852, 396, 543, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,852,396,543,380

Given numbers are 487,852,396,543,380

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

The LCM of 487,852,396,543,380 is 235442399940.

Find LCM of 487,852,396,543,380 with Prime Factorization


2 487, 852, 396, 543, 380
2 487, 426, 198, 543, 190
3 487, 213, 99, 543, 95
487, 71, 33, 181, 95

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

2 x 2 x 3 x 487 x 71 x 33 x 181 x 95 = 235442399940

Therefore, the lowest common multiple of 487,852,396,543,380 is 235442399940.

LCM Formula to Find Lowest Common Multiple of 487,852,396,543,380

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 852 x 396 x 543 x 380 = 33903705591360

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

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

543 : 1, 3, 181, 543

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,852,396,543,380, is 1.

Now, the common factors can be found like this.

487:487

852:2x 2x 3x 71

396:2x 2x 3x 3x 11

543:3x 181

380:2x 2x 5x 19

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 33903705591360/(1x144)

LCM = 33903705591360/144

LCM = 235442399940

Thus, we can understand that the LCM of 487,852,396,543,380 is 235442399940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 852, 396, 543, 380

1. What is the LCM of 487, 852, 396, 543, 380?

Answer: LCM of 487, 852, 396, 543, 380 is 235442399940.

2. How to calculate the LCM of 487, 852, 396, 543, 380?

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, 852, 396, 543, 380.

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}.