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LCM of 592, 398, 925, 995, 232

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


Find the LCM of 592, 398, 925, 995, 232 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 592, 398, 925, 995, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,398,925,995,232

Given numbers are 592,398,925,995,232

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

The LCM of 592,398,925,995,232 is 85410800.

Find LCM of 592,398,925,995,232 with Prime Factorization


2 592, 398, 925, 995, 232
2 296, 199, 925, 995, 116
2 148, 199, 925, 995, 58
5 74, 199, 925, 995, 29
37 74, 199, 185, 199, 29
199 2, 199, 5, 199, 29
2, 1, 5, 1, 29

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

2 x 2 x 2 x 5 x 37 x 199 x 2 x 1 x 5 x 1 x 29 = 85410800

Therefore, the lowest common multiple of 592,398,925,995,232 is 85410800.

LCM Formula to Find Lowest Common Multiple of 592,398,925,995,232

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.

592 x 398 x 925 x 995 x 232 = 50310377632000

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

398 : 1, 2, 199, 398

925 : 1, 5, 25, 37, 185, 925

995 : 1, 5, 199, 995

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,398,925,995,232, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

398:2x 199

925:5x 5x 37

995:5x 199

232:2x 2x 2x 29

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 2x 5x 37x 199 = 589040

Therefore, the value for common factors is 589040.

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 = 50310377632000/(1x589040)

LCM = 50310377632000/589040

LCM = 85410800

Thus, we can understand that the LCM of 592,398,925,995,232 is 85410800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 398, 925, 995, 232

1. What is the LCM of 592, 398, 925, 995, 232?

Answer: LCM of 592, 398, 925, 995, 232 is 85410800.

2. How to calculate the LCM of 592, 398, 925, 995, 232?

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 592, 398, 925, 995, 232.

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}.