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LCM of 169, 574, 123, 338

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


Find the LCM of 169, 574, 123, 338 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, 574, 123, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,574,123,338

Given numbers are 169,574,123,338

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

The LCM of 169,574,123,338 is 291018.

Find LCM of 169,574,123,338 with Prime Factorization


2 169, 574, 123, 338
13 169, 287, 123, 169
13 13, 287, 123, 13
41 1, 287, 123, 1
1, 7, 3, 1

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

2 x 13 x 13 x 41 x 1 x 7 x 3 x 1 = 291018

Therefore, the lowest common multiple of 169,574,123,338 is 291018.

LCM Formula to Find Lowest Common Multiple of 169,574,123,338

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 574 x 123 x 338 = 4032927444

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

123 : 1, 3, 41, 123

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,574,123,338, is 1.

Now, the common factors can be found like this.

169:13x 13

574:2x 7x 41

123:3x 41

338:2x 13x 13

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

2x 13x 13x 41 = 13858

Therefore, the value for common factors is 13858.

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 = 4032927444/(1x13858)

LCM = 4032927444/13858

LCM = 291018

Thus, we can understand that the LCM of 169,574,123,338 is 291018.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 574, 123, 338

1. What is the LCM of 169, 574, 123, 338?

Answer: LCM of 169, 574, 123, 338 is 291018.

2. How to calculate the LCM of 169, 574, 123, 338?

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, 574, 123, 338.

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}.