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LCM of 299, 314, 300, 797

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


Find the LCM of 299, 314, 300, 797 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 299, 314, 300, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,314,300,797

Given numbers are 299,314,300,797

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

The LCM of 299,314,300,797 is 11224071300.

Find LCM of 299,314,300,797 with Prime Factorization


2 299, 314, 300, 797
299, 157, 150, 797

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

2 x 299 x 157 x 150 x 797 = 11224071300

Therefore, the lowest common multiple of 299,314,300,797 is 11224071300.

LCM Formula to Find Lowest Common Multiple of 299,314,300,797

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.

299 x 314 x 300 x 797 = 22448142600

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.

299 : 1, 13, 23, 299

314 : 1, 2, 157, 314

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,314,300,797, is 1.

Now, the common factors can be found like this.

299:13x 23

314:2x 157

300:2x 2x 3x 5x 5

797:797

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 = 22448142600/(1x2)

LCM = 22448142600/2

LCM = 11224071300

Thus, we can understand that the LCM of 299,314,300,797 is 11224071300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 314, 300, 797

1. What is the LCM of 299, 314, 300, 797?

Answer: LCM of 299, 314, 300, 797 is 11224071300.

2. How to calculate the LCM of 299, 314, 300, 797?

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 299, 314, 300, 797.

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}.