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LCM of 541, 605, 426, 562

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


Find the LCM of 541, 605, 426, 562 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 541, 605, 426, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,605,426,562

Given numbers are 541,605,426,562

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

The LCM of 541,605,426,562 is 39180372330.

Find LCM of 541,605,426,562 with Prime Factorization


2 541, 605, 426, 562
541, 605, 213, 281

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

2 x 541 x 605 x 213 x 281 = 39180372330

Therefore, the lowest common multiple of 541,605,426,562 is 39180372330.

LCM Formula to Find Lowest Common Multiple of 541,605,426,562

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.

541 x 605 x 426 x 562 = 78360744660

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.

541 : 1, 541

605 : 1, 5, 11, 55, 121, 605

426 : 1, 2, 3, 6, 71, 142, 213, 426

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,605,426,562, is 1.

Now, the common factors can be found like this.

541:541

605:5x 11x 11

426:2x 3x 71

562:2x 281

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

2 = 2

Therefore, the value for common factors is 2.

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 = 78360744660/(1x2)

LCM = 78360744660/2

LCM = 39180372330

Thus, we can understand that the LCM of 541,605,426,562 is 39180372330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 605, 426, 562

1. What is the LCM of 541, 605, 426, 562?

Answer: LCM of 541, 605, 426, 562 is 39180372330.

2. How to calculate the LCM of 541, 605, 426, 562?

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 541, 605, 426, 562.

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}.