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LCM of 939, 590, 285, 288, 252

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


Find the LCM of 939, 590, 285, 288, 252 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 939, 590, 285, 288, 252. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,590,285,288,252

Given numbers are 939,590,285,288,252

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

The LCM of 939,590,285,288,252 is 3536799840.

Find LCM of 939,590,285,288,252 with Prime Factorization


2 939, 590, 285, 288, 252
2 939, 295, 285, 144, 126
3 939, 295, 285, 72, 63
3 313, 295, 95, 24, 21
5 313, 295, 95, 8, 7
313, 59, 19, 8, 7

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

2 x 2 x 3 x 3 x 5 x 313 x 59 x 19 x 8 x 7 = 3536799840

Therefore, the lowest common multiple of 939,590,285,288,252 is 3536799840.

LCM Formula to Find Lowest Common Multiple of 939,590,285,288,252

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.

939 x 590 x 285 x 288 x 252 = 11459231481600

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.

939 : 1, 3, 313, 939

590 : 1, 2, 5, 10, 59, 118, 295, 590

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,590,285,288,252, is 1.

Now, the common factors can be found like this.

939:3x 313

590:2x 5x 59

285:3x 5x 19

288:2x 2x 2x 2x 2x 3x 3

252:2x 2x 3x 3x 7

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 2x 3x 3x 3x 3x 5 = 3240

Therefore, the value for common factors is 3240.

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 = 11459231481600/(1x3240)

LCM = 11459231481600/3240

LCM = 3536799840

Thus, we can understand that the LCM of 939,590,285,288,252 is 3536799840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 590, 285, 288, 252

1. What is the LCM of 939, 590, 285, 288, 252?

Answer: LCM of 939, 590, 285, 288, 252 is 3536799840.

2. How to calculate the LCM of 939, 590, 285, 288, 252?

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 939, 590, 285, 288, 252.

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}.