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LCM of 117, 154, 715, 293

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


Find the LCM of 117, 154, 715, 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 117, 154, 715, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,154,715,293

Given numbers are 117,154,715,293

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

The LCM of 117,154,715,293 is 26396370.

Find LCM of 117,154,715,293 with Prime Factorization


11 117, 154, 715, 293
13 117, 14, 65, 293
9, 14, 5, 293

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

11 x 13 x 9 x 14 x 5 x 293 = 26396370

Therefore, the lowest common multiple of 117,154,715,293 is 26396370.

LCM Formula to Find Lowest Common Multiple of 117,154,715,293

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.

117 x 154 x 715 x 293 = 3774680910

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.

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

715 : 1, 5, 11, 13, 55, 65, 143, 715

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,154,715,293, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

154:2x 7x 11

715:5x 11x 13

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 13 = 143

Therefore, the value for common factors is 143.

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 = 3774680910/(1x143)

LCM = 3774680910/143

LCM = 26396370

Thus, we can understand that the LCM of 117,154,715,293 is 26396370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 154, 715, 293

1. What is the LCM of 117, 154, 715, 293?

Answer: LCM of 117, 154, 715, 293 is 26396370.

2. How to calculate the LCM of 117, 154, 715, 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 117, 154, 715, 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}.