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LCM of 348, 545, 872, 211

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


Find the LCM of 348, 545, 872, 211 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 348, 545, 872, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 348,545,872,211

Given numbers are 348,545,872,211

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

The LCM of 348,545,872,211 is 80036520.

Find LCM of 348,545,872,211 with Prime Factorization


2 348, 545, 872, 211
2 174, 545, 436, 211
109 87, 545, 218, 211
87, 5, 2, 211

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

2 x 2 x 109 x 87 x 5 x 2 x 211 = 80036520

Therefore, the lowest common multiple of 348,545,872,211 is 80036520.

LCM Formula to Find Lowest Common Multiple of 348,545,872,211

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.

348 x 545 x 872 x 211 = 34895922720

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.

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

545 : 1, 5, 109, 545

872 : 1, 2, 4, 8, 109, 218, 436, 872

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,545,872,211, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

545:5x 109

872:2x 2x 2x 109

211:211

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 109 = 436

Therefore, the value for common factors is 436.

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 = 34895922720/(1x436)

LCM = 34895922720/436

LCM = 80036520

Thus, we can understand that the LCM of 348,545,872,211 is 80036520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 348, 545, 872, 211

1. What is the LCM of 348, 545, 872, 211?

Answer: LCM of 348, 545, 872, 211 is 80036520.

2. How to calculate the LCM of 348, 545, 872, 211?

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 348, 545, 872, 211.

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}.