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LCM of 578, 986, 476, 138, 882

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


Find the LCM of 578, 986, 476, 138, 882 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, 986, 476, 138, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,986,476,138,882

Given numbers are 578,986,476,138,882

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

The LCM of 578,986,476,138,882 is 340033932.

Find LCM of 578,986,476,138,882 with Prime Factorization


2 578, 986, 476, 138, 882
3 289, 493, 238, 69, 441
7 289, 493, 238, 23, 147
17 289, 493, 34, 23, 21
17, 29, 2, 23, 21

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

2 x 3 x 7 x 17 x 17 x 29 x 2 x 23 x 21 = 340033932

Therefore, the lowest common multiple of 578,986,476,138,882 is 340033932.

LCM Formula to Find Lowest Common Multiple of 578,986,476,138,882

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 986 x 476 x 138 x 882 = 33018654932928

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

138 : 1, 2, 3, 6, 23, 46, 69, 138

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,986,476,138,882, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

986:2x 17x 29

476:2x 2x 7x 17

138:2x 3x 23

882:2x 3x 3x 7x 7

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 3x 7x 17x 17 = 48552

Therefore, the value for common factors is 48552.

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 = 33018654932928/(2x48552)

LCM = 33018654932928/97104

LCM = 340033932

Thus, we can understand that the LCM of 578,986,476,138,882 is 340033932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 986, 476, 138, 882

1. What is the LCM of 578, 986, 476, 138, 882?

Answer: LCM of 578, 986, 476, 138, 882 is 340033932.

2. How to calculate the LCM of 578, 986, 476, 138, 882?

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, 986, 476, 138, 882.

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}.