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LCM of 380, 161, 507, 459

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


Find the LCM of 380, 161, 507, 459 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 380, 161, 507, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,161,507,459

Given numbers are 380,161,507,459

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

The LCM of 380,161,507,459 is 4745793780.

Find LCM of 380,161,507,459 with Prime Factorization


3 380, 161, 507, 459
380, 161, 169, 153

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

3 x 380 x 161 x 169 x 153 = 4745793780

Therefore, the lowest common multiple of 380,161,507,459 is 4745793780.

LCM Formula to Find Lowest Common Multiple of 380,161,507,459

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.

380 x 161 x 507 x 459 = 14237381340

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.

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

161 : 1, 7, 23, 161

507 : 1, 3, 13, 39, 169, 507

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,161,507,459, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

161:7x 23

507:3x 13x 13

459:3x 3x 3x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 14237381340/(1x3)

LCM = 14237381340/3

LCM = 4745793780

Thus, we can understand that the LCM of 380,161,507,459 is 4745793780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 161, 507, 459

1. What is the LCM of 380, 161, 507, 459?

Answer: LCM of 380, 161, 507, 459 is 4745793780.

2. How to calculate the LCM of 380, 161, 507, 459?

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 380, 161, 507, 459.

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}.