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LCM of 293, 998, 710, 267

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


Find the LCM of 293, 998, 710, 267 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, 998, 710, 267. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,998,710,267

Given numbers are 293,998,710,267

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

The LCM of 293,998,710,267 is 27716460990.

Find LCM of 293,998,710,267 with Prime Factorization


2 293, 998, 710, 267
293, 499, 355, 267

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

2 x 293 x 499 x 355 x 267 = 27716460990

Therefore, the lowest common multiple of 293,998,710,267 is 27716460990.

LCM Formula to Find Lowest Common Multiple of 293,998,710,267

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 998 x 710 x 267 = 55432921980

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

998 : 1, 2, 499, 998

710 : 1, 2, 5, 10, 71, 142, 355, 710

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,998,710,267, is 1.

Now, the common factors can be found like this.

293:293

998:2x 499

710:2x 5x 71

267:3x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 55432921980/(1x2)

LCM = 55432921980/2

LCM = 27716460990

Thus, we can understand that the LCM of 293,998,710,267 is 27716460990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 998, 710, 267

1. What is the LCM of 293, 998, 710, 267?

Answer: LCM of 293, 998, 710, 267 is 27716460990.

2. How to calculate the LCM of 293, 998, 710, 267?

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, 998, 710, 267.

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}.