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LCM of 293, 775, 865, 517, 273

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


Find the LCM of 293, 775, 865, 517, 273 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 293, 775, 865, 517, 273. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,775,865,517,273

Given numbers are 293,775,865,517,273

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

The LCM of 293,775,865,517,273 is 5544579515475.

Find LCM of 293,775,865,517,273 with Prime Factorization


5 293, 775, 865, 517, 273
293, 155, 173, 517, 273

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

5 x 293 x 155 x 173 x 517 x 273 = 5544579515475

Therefore, the lowest common multiple of 293,775,865,517,273 is 5544579515475.

LCM Formula to Find Lowest Common Multiple of 293,775,865,517,273

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.

293 x 775 x 865 x 517 x 273 = 27722897577375

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.

293 : 1, 293

775 : 1, 5, 25, 31, 155, 775

865 : 1, 5, 173, 865

517 : 1, 11, 47, 517

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,775,865,517,273, is 1.

Now, the common factors can be found like this.

293:293

775:5x 5x 31

865:5x 173

517:11x 47

273:3x 7x 13

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

5 = 5

Therefore, the value for common factors is 5.

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 = 27722897577375/(1x5)

LCM = 27722897577375/5

LCM = 5544579515475

Thus, we can understand that the LCM of 293,775,865,517,273 is 5544579515475.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 775, 865, 517, 273

1. What is the LCM of 293, 775, 865, 517, 273?

Answer: LCM of 293, 775, 865, 517, 273 is 5544579515475.

2. How to calculate the LCM of 293, 775, 865, 517, 273?

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 293, 775, 865, 517, 273.

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}.