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 218, 851, 117, 213

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


Find the LCM of 218, 851, 117, 213 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 218, 851, 117, 213. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,851,117,213

Given numbers are 218,851,117,213

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

The LCM of 218,851,117,213 is 1541098026.

Find LCM of 218,851,117,213 with Prime Factorization


3 218, 851, 117, 213
218, 851, 39, 71

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

3 x 218 x 851 x 39 x 71 = 1541098026

Therefore, the lowest common multiple of 218,851,117,213 is 1541098026.

LCM Formula to Find Lowest Common Multiple of 218,851,117,213

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.

218 x 851 x 117 x 213 = 4623294078

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.

218 : 1, 2, 109, 218

851 : 1, 23, 37, 851

117 : 1, 3, 9, 13, 39, 117

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,851,117,213, is 1.

Now, the common factors can be found like this.

218:2x 109

851:23x 37

117:3x 3x 13

213:3x 71

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4623294078/(1x3)

LCM = 4623294078/3

LCM = 1541098026

Thus, we can understand that the LCM of 218,851,117,213 is 1541098026.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 851, 117, 213

1. What is the LCM of 218, 851, 117, 213?

Answer: LCM of 218, 851, 117, 213 is 1541098026.

2. How to calculate the LCM of 218, 851, 117, 213?

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 218, 851, 117, 213.

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}.