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LCM of 341, 992, 197, 935, 293

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


Find the LCM of 341, 992, 197, 935, 293 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 341, 992, 197, 935, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,992,197,935,293

Given numbers are 341,992,197,935,293

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

The LCM of 341,992,197,935,293 is 53537381920.

Find LCM of 341,992,197,935,293 with Prime Factorization


11 341, 992, 197, 935, 293
31 31, 992, 197, 85, 293
1, 32, 197, 85, 293

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

11 x 31 x 1 x 32 x 197 x 85 x 293 = 53537381920

Therefore, the lowest common multiple of 341,992,197,935,293 is 53537381920.

LCM Formula to Find Lowest Common Multiple of 341,992,197,935,293

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.

341 x 992 x 197 x 935 x 293 = 18256247234720

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.

341 : 1, 11, 31, 341

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

197 : 1, 197

935 : 1, 5, 11, 17, 55, 85, 187, 935

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,992,197,935,293, is 1.

Now, the common factors can be found like this.

341:11x 31

992:2x 2x 2x 2x 2x 31

197:197

935:5x 11x 17

293:293

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

11x 31 = 341

Therefore, the value for common factors is 341.

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 = 18256247234720/(1x341)

LCM = 18256247234720/341

LCM = 53537381920

Thus, we can understand that the LCM of 341,992,197,935,293 is 53537381920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 992, 197, 935, 293

1. What is the LCM of 341, 992, 197, 935, 293?

Answer: LCM of 341, 992, 197, 935, 293 is 53537381920.

2. How to calculate the LCM of 341, 992, 197, 935, 293?

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 341, 992, 197, 935, 293.

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}.