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LCM of 171, 350, 909, 446, 540

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


Find the LCM of 171, 350, 909, 446, 540 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 171, 350, 909, 446, 540. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 171,350,909,446,540

Given numbers are 171,350,909,446,540

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

The LCM of 171,350,909,446,540 is 8088009300.

Find LCM of 171,350,909,446,540 with Prime Factorization


2 171, 350, 909, 446, 540
3 171, 175, 909, 223, 270
3 57, 175, 303, 223, 90
5 19, 175, 101, 223, 30
19, 35, 101, 223, 6

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

2 x 3 x 3 x 5 x 19 x 35 x 101 x 223 x 6 = 8088009300

Therefore, the lowest common multiple of 171,350,909,446,540 is 8088009300.

LCM Formula to Find Lowest Common Multiple of 171,350,909,446,540

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.

171 x 350 x 909 x 446 x 540 = 13102575066000

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.

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

909 : 1, 3, 9, 101, 303, 909

446 : 1, 2, 223, 446

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,350,909,446,540, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

350:2x 5x 5x 7

909:3x 3x 101

446:2x 223

540:2x 2x 3x 3x 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 2x 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 13102575066000/(1x1620)

LCM = 13102575066000/1620

LCM = 8088009300

Thus, we can understand that the LCM of 171,350,909,446,540 is 8088009300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 171, 350, 909, 446, 540

1. What is the LCM of 171, 350, 909, 446, 540?

Answer: LCM of 171, 350, 909, 446, 540 is 8088009300.

2. How to calculate the LCM of 171, 350, 909, 446, 540?

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 171, 350, 909, 446, 540.

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}.