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LCM of 659, 273, 734, 442

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


Find the LCM of 659, 273, 734, 442 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 659, 273, 734, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,273,734,442

Given numbers are 659,273,734,442

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

The LCM of 659,273,734,442 is 2244879546.

Find LCM of 659,273,734,442 with Prime Factorization


2 659, 273, 734, 442
13 659, 273, 367, 221
659, 21, 367, 17

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

2 x 13 x 659 x 21 x 367 x 17 = 2244879546

Therefore, the lowest common multiple of 659,273,734,442 is 2244879546.

LCM Formula to Find Lowest Common Multiple of 659,273,734,442

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.

659 x 273 x 734 x 442 = 58366868196

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.

659 : 1, 659

273 : 1, 3, 7, 13, 21, 39, 91, 273

734 : 1, 2, 367, 734

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,273,734,442, is 1.

Now, the common factors can be found like this.

659:659

273:3x 7x 13

734:2x 367

442:2x 13x 17

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 = 58366868196/(1x26)

LCM = 58366868196/26

LCM = 2244879546

Thus, we can understand that the LCM of 659,273,734,442 is 2244879546.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 273, 734, 442

1. What is the LCM of 659, 273, 734, 442?

Answer: LCM of 659, 273, 734, 442 is 2244879546.

2. How to calculate the LCM of 659, 273, 734, 442?

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 659, 273, 734, 442.

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}.