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LCM of 141, 721, 212, 585

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


Find the LCM of 141, 721, 212, 585 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 141, 721, 212, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 141,721,212,585

Given numbers are 141,721,212,585

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

The LCM of 141,721,212,585 is 4202665740.

Find LCM of 141,721,212,585 with Prime Factorization


3 141, 721, 212, 585
47, 721, 212, 195

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

3 x 47 x 721 x 212 x 195 = 4202665740

Therefore, the lowest common multiple of 141,721,212,585 is 4202665740.

LCM Formula to Find Lowest Common Multiple of 141,721,212,585

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.

141 x 721 x 212 x 585 = 12607997220

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.

141 : 1, 3, 47, 141

721 : 1, 7, 103, 721

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,721,212,585, is 1.

Now, the common factors can be found like this.

141:3x 47

721:7x 103

212:2x 2x 53

585:3x 3x 5x 13

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 = 12607997220/(1x3)

LCM = 12607997220/3

LCM = 4202665740

Thus, we can understand that the LCM of 141,721,212,585 is 4202665740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 141, 721, 212, 585

1. What is the LCM of 141, 721, 212, 585?

Answer: LCM of 141, 721, 212, 585 is 4202665740.

2. How to calculate the LCM of 141, 721, 212, 585?

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 141, 721, 212, 585.

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}.