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 680, 524, 242, 212, 291

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


Find the LCM of 680, 524, 242, 212, 291 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 680, 524, 242, 212, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 680,524,242,212,291

Given numbers are 680,524,242,212,291

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

The LCM of 680,524,242,212,291 is 166239581640.

Find LCM of 680,524,242,212,291 with Prime Factorization


2 680, 524, 242, 212, 291
2 340, 262, 121, 106, 291
170, 131, 121, 53, 291

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

2 x 2 x 170 x 131 x 121 x 53 x 291 = 166239581640

Therefore, the lowest common multiple of 680,524,242,212,291 is 166239581640.

LCM Formula to Find Lowest Common Multiple of 680,524,242,212,291

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.

680 x 524 x 242 x 212 x 291 = 5319666612480

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.

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

524 : 1, 2, 4, 131, 262, 524

242 : 1, 2, 11, 22, 121, 242

212 : 1, 2, 4, 53, 106, 212

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,524,242,212,291, is 1.

Now, the common factors can be found like this.

680:2x 2x 2x 5x 17

524:2x 2x 131

242:2x 11x 11

212:2x 2x 53

291:3x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 5319666612480/(1x32)

LCM = 5319666612480/32

LCM = 166239581640

Thus, we can understand that the LCM of 680,524,242,212,291 is 166239581640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 680, 524, 242, 212, 291

1. What is the LCM of 680, 524, 242, 212, 291?

Answer: LCM of 680, 524, 242, 212, 291 is 166239581640.

2. How to calculate the LCM of 680, 524, 242, 212, 291?

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 680, 524, 242, 212, 291.

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}.