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LCM of 282, 705, 411, 939

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


Find the LCM of 282, 705, 411, 939 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 282, 705, 411, 939. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 282,705,411,939

Given numbers are 282,705,411,939

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

The LCM of 282,705,411,939 is 60462210.

Find LCM of 282,705,411,939 with Prime Factorization


3 282, 705, 411, 939
47 94, 235, 137, 313
2, 5, 137, 313

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

3 x 47 x 2 x 5 x 137 x 313 = 60462210

Therefore, the lowest common multiple of 282,705,411,939 is 60462210.

LCM Formula to Find Lowest Common Multiple of 282,705,411,939

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.

282 x 705 x 411 x 939 = 76726544490

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.

282 : 1, 2, 3, 6, 47, 94, 141, 282

705 : 1, 3, 5, 15, 47, 141, 235, 705

411 : 1, 3, 137, 411

939 : 1, 3, 313, 939

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,705,411,939, is 3.

Now, the common factors can be found like this.

282:2x 3x 47

705:3x 5x 47

411:3x 137

939:3x 313

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

3x 3x 47 = 423

Therefore, the value for common factors is 423.

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 = 76726544490/(3x423)

LCM = 76726544490/1269

LCM = 60462210

Thus, we can understand that the LCM of 282,705,411,939 is 60462210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 282, 705, 411, 939

1. What is the LCM of 282, 705, 411, 939?

Answer: LCM of 282, 705, 411, 939 is 60462210.

2. How to calculate the LCM of 282, 705, 411, 939?

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 282, 705, 411, 939.

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}.