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LCM of 933, 538, 252, 782, 650

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


Find the LCM of 933, 538, 252, 782, 650 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 933, 538, 252, 782, 650. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,538,252,782,650

Given numbers are 933,538,252,782,650

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

The LCM of 933,538,252,782,650 is 2679003791100.

Find LCM of 933,538,252,782,650 with Prime Factorization


2 933, 538, 252, 782, 650
3 933, 269, 126, 391, 325
311, 269, 42, 391, 325

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

2 x 3 x 311 x 269 x 42 x 391 x 325 = 2679003791100

Therefore, the lowest common multiple of 933,538,252,782,650 is 2679003791100.

LCM Formula to Find Lowest Common Multiple of 933,538,252,782,650

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.

933 x 538 x 252 x 782 x 650 = 64296090986400

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.

933 : 1, 3, 311, 933

538 : 1, 2, 269, 538

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,538,252,782,650, is 1.

Now, the common factors can be found like this.

933:3x 311

538:2x 269

252:2x 2x 3x 3x 7

782:2x 17x 23

650:2x 5x 5x 13

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 3 = 24

Therefore, the value for common factors is 24.

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 = 64296090986400/(1x24)

LCM = 64296090986400/24

LCM = 2679003791100

Thus, we can understand that the LCM of 933,538,252,782,650 is 2679003791100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 538, 252, 782, 650

1. What is the LCM of 933, 538, 252, 782, 650?

Answer: LCM of 933, 538, 252, 782, 650 is 2679003791100.

2. How to calculate the LCM of 933, 538, 252, 782, 650?

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 933, 538, 252, 782, 650.

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}.