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LCM of 169, 188, 845, 596

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


Find the LCM of 169, 188, 845, 596 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, 188, 845, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,188,845,596

Given numbers are 169,188,845,596

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

The LCM of 169,188,845,596 is 23670140.

Find LCM of 169,188,845,596 with Prime Factorization


2 169, 188, 845, 596
2 169, 94, 845, 298
13 169, 47, 845, 149
13 13, 47, 65, 149
1, 47, 5, 149

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

2 x 2 x 13 x 13 x 1 x 47 x 5 x 149 = 23670140

Therefore, the lowest common multiple of 169,188,845,596 is 23670140.

LCM Formula to Find Lowest Common Multiple of 169,188,845,596

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 188 x 845 x 596 = 16001014640

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

188 : 1, 2, 4, 47, 94, 188

845 : 1, 5, 13, 65, 169, 845

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,188,845,596, is 1.

Now, the common factors can be found like this.

169:13x 13

188:2x 2x 47

845:5x 13x 13

596:2x 2x 149

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 13x 13 = 676

Therefore, the value for common factors is 676.

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 = 16001014640/(1x676)

LCM = 16001014640/676

LCM = 23670140

Thus, we can understand that the LCM of 169,188,845,596 is 23670140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 188, 845, 596

1. What is the LCM of 169, 188, 845, 596?

Answer: LCM of 169, 188, 845, 596 is 23670140.

2. How to calculate the LCM of 169, 188, 845, 596?

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, 188, 845, 596.

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}.