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LCM of 589, 744, 401, 668, 236

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


Find the LCM of 589, 744, 401, 668, 236 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 589, 744, 401, 668, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,744,401,668,236

Given numbers are 589,744,401,668,236

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

The LCM of 589,744,401,668,236 is 55852085208.

Find LCM of 589,744,401,668,236 with Prime Factorization


2 589, 744, 401, 668, 236
2 589, 372, 401, 334, 118
31 589, 186, 401, 167, 59
19, 6, 401, 167, 59

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

2 x 2 x 31 x 19 x 6 x 401 x 167 x 59 = 55852085208

Therefore, the lowest common multiple of 589,744,401,668,236 is 55852085208.

LCM Formula to Find Lowest Common Multiple of 589,744,401,668,236

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.

589 x 744 x 401 x 668 x 236 = 27702634263168

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.

589 : 1, 19, 31, 589

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

401 : 1, 401

668 : 1, 2, 4, 167, 334, 668

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,744,401,668,236, is 1.

Now, the common factors can be found like this.

589:19x 31

744:2x 2x 2x 3x 31

401:401

668:2x 2x 167

236:2x 2x 59

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 31 = 496

Therefore, the value for common factors is 496.

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 = 27702634263168/(1x496)

LCM = 27702634263168/496

LCM = 55852085208

Thus, we can understand that the LCM of 589,744,401,668,236 is 55852085208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 744, 401, 668, 236

1. What is the LCM of 589, 744, 401, 668, 236?

Answer: LCM of 589, 744, 401, 668, 236 is 55852085208.

2. How to calculate the LCM of 589, 744, 401, 668, 236?

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 589, 744, 401, 668, 236.

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}.