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LCM of 541, 822, 858, 822

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


Find the LCM of 541, 822, 858, 822 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, 822, 858, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,822,858,822

Given numbers are 541,822,858,822

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

The LCM of 541,822,858,822 is 63592386.

Find LCM of 541,822,858,822 with Prime Factorization


2 541, 822, 858, 822
3 541, 411, 429, 411
137 541, 137, 143, 137
541, 1, 143, 1

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

2 x 3 x 137 x 541 x 1 x 143 x 1 = 63592386

Therefore, the lowest common multiple of 541,822,858,822 is 63592386.

LCM Formula to Find Lowest Common Multiple of 541,822,858,822

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 822 x 858 x 822 = 313637647752

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

822 : 1, 2, 3, 6, 137, 274, 411, 822

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,822,858,822, is 1.

Now, the common factors can be found like this.

541:541

822:2x 3x 137

858:2x 3x 11x 13

822:2x 3x 137

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 137 = 4932

Therefore, the value for common factors is 4932.

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 = 313637647752/(1x4932)

LCM = 313637647752/4932

LCM = 63592386

Thus, we can understand that the LCM of 541,822,858,822 is 63592386.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 822, 858, 822

1. What is the LCM of 541, 822, 858, 822?

Answer: LCM of 541, 822, 858, 822 is 63592386.

2. How to calculate the LCM of 541, 822, 858, 822?

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, 822, 858, 822.

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}.