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LCM of 996, 211, 382, 277

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


Find the LCM of 996, 211, 382, 277 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 996, 211, 382, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 996,211,382,277

Given numbers are 996,211,382,277

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

The LCM of 996,211,382,277 is 11118723492.

Find LCM of 996,211,382,277 with Prime Factorization


2 996, 211, 382, 277
498, 211, 191, 277

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

2 x 498 x 211 x 191 x 277 = 11118723492

Therefore, the lowest common multiple of 996,211,382,277 is 11118723492.

LCM Formula to Find Lowest Common Multiple of 996,211,382,277

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.

996 x 211 x 382 x 277 = 22237446984

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

211 : 1, 211

382 : 1, 2, 191, 382

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,211,382,277, is 1.

Now, the common factors can be found like this.

996:2x 2x 3x 83

211:211

382:2x 191

277:277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22237446984/(1x2)

LCM = 22237446984/2

LCM = 11118723492

Thus, we can understand that the LCM of 996,211,382,277 is 11118723492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 996, 211, 382, 277

1. What is the LCM of 996, 211, 382, 277?

Answer: LCM of 996, 211, 382, 277 is 11118723492.

2. How to calculate the LCM of 996, 211, 382, 277?

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 996, 211, 382, 277.

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}.