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LCM of 325, 596, 943, 741, 223

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


Find the LCM of 325, 596, 943, 741, 223 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 325, 596, 943, 741, 223. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 325,596,943,741,223

Given numbers are 325,596,943,741,223

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

The LCM of 325,596,943,741,223 is 2321779820100.

Find LCM of 325,596,943,741,223 with Prime Factorization


13 325, 596, 943, 741, 223
25, 596, 943, 57, 223

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

13 x 25 x 596 x 943 x 57 x 223 = 2321779820100

Therefore, the lowest common multiple of 325,596,943,741,223 is 2321779820100.

LCM Formula to Find Lowest Common Multiple of 325,596,943,741,223

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.

325 x 596 x 943 x 741 x 223 = 30183137661300

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.

325 : 1, 5, 13, 25, 65, 325

596 : 1, 2, 4, 149, 298, 596

943 : 1, 23, 41, 943

741 : 1, 3, 13, 19, 39, 57, 247, 741

223 : 1, 223

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,596,943,741,223, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

596:2x 2x 149

943:23x 41

741:3x 13x 19

223:223

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

13 = 13

Therefore, the value for common factors is 13.

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 = 30183137661300/(1x13)

LCM = 30183137661300/13

LCM = 2321779820100

Thus, we can understand that the LCM of 325,596,943,741,223 is 2321779820100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 325, 596, 943, 741, 223

1. What is the LCM of 325, 596, 943, 741, 223?

Answer: LCM of 325, 596, 943, 741, 223 is 2321779820100.

2. How to calculate the LCM of 325, 596, 943, 741, 223?

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 325, 596, 943, 741, 223.

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}.