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LCM of 169, 299, 370, 582

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


Find the LCM of 169, 299, 370, 582 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 169, 299, 370, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,299,370,582

Given numbers are 169,299,370,582

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

The LCM of 169,299,370,582 is 418513290.

Find LCM of 169,299,370,582 with Prime Factorization


2 169, 299, 370, 582
13 169, 299, 185, 291
13, 23, 185, 291

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

2 x 13 x 13 x 23 x 185 x 291 = 418513290

Therefore, the lowest common multiple of 169,299,370,582 is 418513290.

LCM Formula to Find Lowest Common Multiple of 169,299,370,582

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.

169 x 299 x 370 x 582 = 10881345540

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.

169 : 1, 13, 169

299 : 1, 13, 23, 299

370 : 1, 2, 5, 10, 37, 74, 185, 370

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,299,370,582, is 1.

Now, the common factors can be found like this.

169:13x 13

299:13x 23

370:2x 5x 37

582:2x 3x 97

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 10881345540/(1x26)

LCM = 10881345540/26

LCM = 418513290

Thus, we can understand that the LCM of 169,299,370,582 is 418513290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 299, 370, 582

1. What is the LCM of 169, 299, 370, 582?

Answer: LCM of 169, 299, 370, 582 is 418513290.

2. How to calculate the LCM of 169, 299, 370, 582?

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 169, 299, 370, 582.

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}.