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LCM of 135, 397, 361, 722

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


Find the LCM of 135, 397, 361, 722 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 135, 397, 361, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 135,397,361,722

Given numbers are 135,397,361,722

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

The LCM of 135,397,361,722 is 38695590.

Find LCM of 135,397,361,722 with Prime Factorization


19 135, 397, 361, 722
19 135, 397, 19, 38
135, 397, 1, 2

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

19 x 19 x 135 x 397 x 1 x 2 = 38695590

Therefore, the lowest common multiple of 135,397,361,722 is 38695590.

LCM Formula to Find Lowest Common Multiple of 135,397,361,722

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.

135 x 397 x 361 x 722 = 13969107990

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

397 : 1, 397

361 : 1, 19, 361

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,397,361,722, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

397:397

361:19x 19

722:2x 19x 19

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 13969107990/(1x361)

LCM = 13969107990/361

LCM = 38695590

Thus, we can understand that the LCM of 135,397,361,722 is 38695590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 135, 397, 361, 722

1. What is the LCM of 135, 397, 361, 722?

Answer: LCM of 135, 397, 361, 722 is 38695590.

2. How to calculate the LCM of 135, 397, 361, 722?

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 135, 397, 361, 722.

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}.