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LCM of 801, 838, 765, 723, 240

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


Find the LCM of 801, 838, 765, 723, 240 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 801, 838, 765, 723, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,838,765,723,240

Given numbers are 801,838,765,723,240

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

The LCM of 801,838,765,723,240 is 110002483440.

Find LCM of 801,838,765,723,240 with Prime Factorization


2 801, 838, 765, 723, 240
3 801, 419, 765, 723, 120
3 267, 419, 255, 241, 40
5 89, 419, 85, 241, 40
89, 419, 17, 241, 8

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

2 x 3 x 3 x 5 x 89 x 419 x 17 x 241 x 8 = 110002483440

Therefore, the lowest common multiple of 801,838,765,723,240 is 110002483440.

LCM Formula to Find Lowest Common Multiple of 801,838,765,723,240

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.

801 x 838 x 765 x 723 x 240 = 89102011586400

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.

801 : 1, 3, 9, 89, 267, 801

838 : 1, 2, 419, 838

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

723 : 1, 3, 241, 723

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,838,765,723,240, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

838:2x 419

765:3x 3x 5x 17

723:3x 241

240:2x 2x 2x 2x 3x 5

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

2x 3x 3x 3x 3x 5 = 810

Therefore, the value for common factors is 810.

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 = 89102011586400/(1x810)

LCM = 89102011586400/810

LCM = 110002483440

Thus, we can understand that the LCM of 801,838,765,723,240 is 110002483440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 838, 765, 723, 240

1. What is the LCM of 801, 838, 765, 723, 240?

Answer: LCM of 801, 838, 765, 723, 240 is 110002483440.

2. How to calculate the LCM of 801, 838, 765, 723, 240?

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 801, 838, 765, 723, 240.

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}.