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LCM of 193, 830, 591, 332

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


Find the LCM of 193, 830, 591, 332 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 193, 830, 591, 332. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 193,830,591,332

Given numbers are 193,830,591,332

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

The LCM of 193,830,591,332 is 189344580.

Find LCM of 193,830,591,332 with Prime Factorization


2 193, 830, 591, 332
83 193, 415, 591, 166
193, 5, 591, 2

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

2 x 83 x 193 x 5 x 591 x 2 = 189344580

Therefore, the lowest common multiple of 193,830,591,332 is 189344580.

LCM Formula to Find Lowest Common Multiple of 193,830,591,332

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.

193 x 830 x 591 x 332 = 31431200280

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.

193 : 1, 193

830 : 1, 2, 5, 10, 83, 166, 415, 830

591 : 1, 3, 197, 591

332 : 1, 2, 4, 83, 166, 332

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,830,591,332, is 1.

Now, the common factors can be found like this.

193:193

830:2x 5x 83

591:3x 197

332:2x 2x 83

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

2x 83 = 166

Therefore, the value for common factors is 166.

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 = 31431200280/(1x166)

LCM = 31431200280/166

LCM = 189344580

Thus, we can understand that the LCM of 193,830,591,332 is 189344580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 193, 830, 591, 332

1. What is the LCM of 193, 830, 591, 332?

Answer: LCM of 193, 830, 591, 332 is 189344580.

2. How to calculate the LCM of 193, 830, 591, 332?

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 193, 830, 591, 332.

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}.