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LCM of 703, 432, 193, 323

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


Find the LCM of 703, 432, 193, 323 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 703, 432, 193, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,432,193,323

Given numbers are 703,432,193,323

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

The LCM of 703,432,193,323 is 996426576.

Find LCM of 703,432,193,323 with Prime Factorization


19 703, 432, 193, 323
37, 432, 193, 17

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

19 x 37 x 432 x 193 x 17 = 996426576

Therefore, the lowest common multiple of 703,432,193,323 is 996426576.

LCM Formula to Find Lowest Common Multiple of 703,432,193,323

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.

703 x 432 x 193 x 323 = 18932104944

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.

703 : 1, 19, 37, 703

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

193 : 1, 193

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,432,193,323, is 1.

Now, the common factors can be found like this.

703:19x 37

432:2x 2x 2x 2x 3x 3x 3

193:193

323:17x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 18932104944/(1x19)

LCM = 18932104944/19

LCM = 996426576

Thus, we can understand that the LCM of 703,432,193,323 is 996426576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 432, 193, 323

1. What is the LCM of 703, 432, 193, 323?

Answer: LCM of 703, 432, 193, 323 is 996426576.

2. How to calculate the LCM of 703, 432, 193, 323?

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 703, 432, 193, 323.

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}.