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LCM of 293, 117, 104

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


Find the LCM of 293, 117, 104 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, 117, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,117,104

Given numbers are 293,117,104

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

The LCM of 293,117,104 is 274248.

Find LCM of 293,117,104 with Prime Factorization


13 293, 117, 104
293, 9, 8

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

13 x 293 x 9 x 8 = 274248

Therefore, the lowest common multiple of 293,117,104 is 274248.

LCM Formula to Find Lowest Common Multiple of 293,117,104

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 117 x 104 = 3565224

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

117 : 1, 3, 9, 13, 39, 117

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,117,104, is 1.

Now, the common factors can be found like this.

293:293

117:3x 3x 13

104:2x 2x 2x 13

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 = 3565224/(1x13)

LCM = 3565224/13

LCM = 274248

Thus, we can understand that the LCM of 293,117,104 is 274248.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 293, 117, 104

1. What is the LCM of 293, 117, 104?

Answer: LCM of 293, 117, 104 is 274248.

2. How to calculate the LCM of 293, 117, 104?

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, 117, 104.

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}.