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LCM of 265, 585, 171, 734

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


Find the LCM of 265, 585, 171, 734 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 265, 585, 171, 734. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,585,171,734

Given numbers are 265,585,171,734

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

The LCM of 265,585,171,734 is 432395730.

Find LCM of 265,585,171,734 with Prime Factorization


3 265, 585, 171, 734
3 265, 195, 57, 734
5 265, 65, 19, 734
53, 13, 19, 734

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

3 x 3 x 5 x 53 x 13 x 19 x 734 = 432395730

Therefore, the lowest common multiple of 265,585,171,734 is 432395730.

LCM Formula to Find Lowest Common Multiple of 265,585,171,734

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.

265 x 585 x 171 x 734 = 19457807850

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.

265 : 1, 5, 53, 265

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

171 : 1, 3, 9, 19, 57, 171

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,585,171,734, is 1.

Now, the common factors can be found like this.

265:5x 53

585:3x 3x 5x 13

171:3x 3x 19

734:2x 367

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 19457807850/(1x45)

LCM = 19457807850/45

LCM = 432395730

Thus, we can understand that the LCM of 265,585,171,734 is 432395730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 585, 171, 734

1. What is the LCM of 265, 585, 171, 734?

Answer: LCM of 265, 585, 171, 734 is 432395730.

2. How to calculate the LCM of 265, 585, 171, 734?

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 265, 585, 171, 734.

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}.