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LCM of 293, 899, 749, 939, 600

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


Find the LCM of 293, 899, 749, 939, 600 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, 899, 749, 939, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,899,749,939,600

Given numbers are 293,899,749,939,600

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

The LCM of 293,899,749,939,600 is 37051408115400.

Find LCM of 293,899,749,939,600 with Prime Factorization


3 293, 899, 749, 939, 600
293, 899, 749, 313, 200

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

3 x 293 x 899 x 749 x 313 x 200 = 37051408115400

Therefore, the lowest common multiple of 293,899,749,939,600 is 37051408115400.

LCM Formula to Find Lowest Common Multiple of 293,899,749,939,600

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 899 x 749 x 939 x 600 = 111154224346200

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

899 : 1, 29, 31, 899

749 : 1, 7, 107, 749

939 : 1, 3, 313, 939

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,899,749,939,600, is 1.

Now, the common factors can be found like this.

293:293

899:29x 31

749:7x 107

939:3x 313

600:2x 2x 2x 3x 5x 5

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

3 = 3

Therefore, the value for common factors is 3.

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 = 111154224346200/(1x3)

LCM = 111154224346200/3

LCM = 37051408115400

Thus, we can understand that the LCM of 293,899,749,939,600 is 37051408115400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 899, 749, 939, 600

1. What is the LCM of 293, 899, 749, 939, 600?

Answer: LCM of 293, 899, 749, 939, 600 is 37051408115400.

2. How to calculate the LCM of 293, 899, 749, 939, 600?

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, 899, 749, 939, 600.

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}.