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LCM of 792, 212, 911, 285

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


Find the LCM of 792, 212, 911, 285 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 792, 212, 911, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,212,911,285

Given numbers are 792,212,911,285

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

The LCM of 792,212,911,285 is 3632812920.

Find LCM of 792,212,911,285 with Prime Factorization


2 792, 212, 911, 285
2 396, 106, 911, 285
3 198, 53, 911, 285
66, 53, 911, 95

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

2 x 2 x 3 x 66 x 53 x 911 x 95 = 3632812920

Therefore, the lowest common multiple of 792,212,911,285 is 3632812920.

LCM Formula to Find Lowest Common Multiple of 792,212,911,285

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.

792 x 212 x 911 x 285 = 43593755040

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

911 : 1, 911

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,212,911,285, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

212:2x 2x 53

911:911

285:3x 5x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 43593755040/(1x12)

LCM = 43593755040/12

LCM = 3632812920

Thus, we can understand that the LCM of 792,212,911,285 is 3632812920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 212, 911, 285

1. What is the LCM of 792, 212, 911, 285?

Answer: LCM of 792, 212, 911, 285 is 3632812920.

2. How to calculate the LCM of 792, 212, 911, 285?

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 792, 212, 911, 285.

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}.