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LCM of 211, 483, 884, 752

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


Find the LCM of 211, 483, 884, 752 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 211, 483, 884, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,483,884,752

Given numbers are 211,483,884,752

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

The LCM of 211,483,884,752 is 16937125296.

Find LCM of 211,483,884,752 with Prime Factorization


2 211, 483, 884, 752
2 211, 483, 442, 376
211, 483, 221, 188

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

2 x 2 x 211 x 483 x 221 x 188 = 16937125296

Therefore, the lowest common multiple of 211,483,884,752 is 16937125296.

LCM Formula to Find Lowest Common Multiple of 211,483,884,752

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.

211 x 483 x 884 x 752 = 67748501184

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.

211 : 1, 211

483 : 1, 3, 7, 21, 23, 69, 161, 483

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,483,884,752, is 1.

Now, the common factors can be found like this.

211:211

483:3x 7x 23

884:2x 2x 13x 17

752:2x 2x 2x 2x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 67748501184/(1x4)

LCM = 67748501184/4

LCM = 16937125296

Thus, we can understand that the LCM of 211,483,884,752 is 16937125296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 483, 884, 752

1. What is the LCM of 211, 483, 884, 752?

Answer: LCM of 211, 483, 884, 752 is 16937125296.

2. How to calculate the LCM of 211, 483, 884, 752?

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 211, 483, 884, 752.

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}.