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LCM of 578, 466, 873, 842

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


Find the LCM of 578, 466, 873, 842 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 578, 466, 873, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,466,873,842

Given numbers are 578,466,873,842

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

The LCM of 578,466,873,842 is 49497139242.

Find LCM of 578,466,873,842 with Prime Factorization


2 578, 466, 873, 842
289, 233, 873, 421

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

2 x 289 x 233 x 873 x 421 = 49497139242

Therefore, the lowest common multiple of 578,466,873,842 is 49497139242.

LCM Formula to Find Lowest Common Multiple of 578,466,873,842

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.

578 x 466 x 873 x 842 = 197988556968

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.

578 : 1, 2, 17, 34, 289, 578

466 : 1, 2, 233, 466

873 : 1, 3, 9, 97, 291, 873

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,466,873,842, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

466:2x 233

873:3x 3x 97

842:2x 421

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 197988556968/(1x4)

LCM = 197988556968/4

LCM = 49497139242

Thus, we can understand that the LCM of 578,466,873,842 is 49497139242.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 466, 873, 842

1. What is the LCM of 578, 466, 873, 842?

Answer: LCM of 578, 466, 873, 842 is 49497139242.

2. How to calculate the LCM of 578, 466, 873, 842?

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 578, 466, 873, 842.

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}.