LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 882, 348, 393, 706, 582

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


Find the LCM of 882, 348, 393, 706, 582 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 882, 348, 393, 706, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,348,393,706,582

Given numbers are 882,348,393,706,582

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

The LCM of 882,348,393,706,582 is 229463870076.

Find LCM of 882,348,393,706,582 with Prime Factorization


2 882, 348, 393, 706, 582
3 441, 174, 393, 353, 291
147, 58, 131, 353, 97

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

2 x 3 x 147 x 58 x 131 x 353 x 97 = 229463870076

Therefore, the lowest common multiple of 882,348,393,706,582 is 229463870076.

LCM Formula to Find Lowest Common Multiple of 882,348,393,706,582

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.

882 x 348 x 393 x 706 x 582 = 49564195936416

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.

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

393 : 1, 3, 131, 393

706 : 1, 2, 353, 706

582 : 1, 2, 3, 6, 97, 194, 291, 582

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,348,393,706,582, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

348:2x 2x 3x 29

393:3x 131

706:2x 353

582:2x 3x 97

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 49564195936416/(1x216)

LCM = 49564195936416/216

LCM = 229463870076

Thus, we can understand that the LCM of 882,348,393,706,582 is 229463870076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 348, 393, 706, 582

1. What is the LCM of 882, 348, 393, 706, 582?

Answer: LCM of 882, 348, 393, 706, 582 is 229463870076.

2. How to calculate the LCM of 882, 348, 393, 706, 582?

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 882, 348, 393, 706, 582.

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}.