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LCM of 409, 681, 540, 722, 424

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


Find the LCM of 409, 681, 540, 722, 424 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 409, 681, 540, 722, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,681,540,722,424

Given numbers are 409,681,540,722,424

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

The LCM of 409,681,540,722,424 is 1918474328520.

Find LCM of 409,681,540,722,424 with Prime Factorization


2 409, 681, 540, 722, 424
2 409, 681, 270, 361, 212
3 409, 681, 135, 361, 106
409, 227, 45, 361, 106

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

2 x 2 x 3 x 409 x 227 x 45 x 361 x 106 = 1918474328520

Therefore, the lowest common multiple of 409,681,540,722,424 is 1918474328520.

LCM Formula to Find Lowest Common Multiple of 409,681,540,722,424

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.

409 x 681 x 540 x 722 x 424 = 46043383884480

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.

409 : 1, 409

681 : 1, 3, 227, 681

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

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

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,681,540,722,424, is 1.

Now, the common factors can be found like this.

409:409

681:3x 227

540:2x 2x 3x 3x 3x 5

722:2x 19x 19

424:2x 2x 2x 53

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 46043383884480/(1x24)

LCM = 46043383884480/24

LCM = 1918474328520

Thus, we can understand that the LCM of 409,681,540,722,424 is 1918474328520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 681, 540, 722, 424

1. What is the LCM of 409, 681, 540, 722, 424?

Answer: LCM of 409, 681, 540, 722, 424 is 1918474328520.

2. How to calculate the LCM of 409, 681, 540, 722, 424?

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 409, 681, 540, 722, 424.

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}.