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LCM of 933, 346, 205, 524

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


Find the LCM of 933, 346, 205, 524 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, 346, 205, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,346,205,524

Given numbers are 933,346,205,524

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

The LCM of 933,346,205,524 is 17338554780.

Find LCM of 933,346,205,524 with Prime Factorization


2 933, 346, 205, 524
933, 173, 205, 262

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

2 x 933 x 173 x 205 x 262 = 17338554780

Therefore, the lowest common multiple of 933,346,205,524 is 17338554780.

LCM Formula to Find Lowest Common Multiple of 933,346,205,524

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 346 x 205 x 524 = 34677109560

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

346 : 1, 2, 173, 346

205 : 1, 5, 41, 205

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,346,205,524, is 1.

Now, the common factors can be found like this.

933:3x 311

346:2x 173

205:5x 41

524:2x 2x 131

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 = 34677109560/(1x2)

LCM = 34677109560/2

LCM = 17338554780

Thus, we can understand that the LCM of 933,346,205,524 is 17338554780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 346, 205, 524

1. What is the LCM of 933, 346, 205, 524?

Answer: LCM of 933, 346, 205, 524 is 17338554780.

2. How to calculate the LCM of 933, 346, 205, 524?

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, 346, 205, 524.

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}.