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LCM of 107, 304, 494, 916, 299

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


Find the LCM of 107, 304, 494, 916, 299 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 107, 304, 494, 916, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,304,494,916,299

Given numbers are 107,304,494,916,299

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

The LCM of 107,304,494,916,299 is 2227224688.

Find LCM of 107,304,494,916,299 with Prime Factorization


2 107, 304, 494, 916, 299
2 107, 152, 247, 458, 299
13 107, 76, 247, 229, 299
19 107, 76, 19, 229, 23
107, 4, 1, 229, 23

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

2 x 2 x 13 x 19 x 107 x 4 x 1 x 229 x 23 = 2227224688

Therefore, the lowest common multiple of 107,304,494,916,299 is 2227224688.

LCM Formula to Find Lowest Common Multiple of 107,304,494,916,299

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.

107 x 304 x 494 x 916 x 299 = 4400995983488

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.

107 : 1, 107

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

494 : 1, 2, 13, 19, 26, 38, 247, 494

916 : 1, 2, 4, 229, 458, 916

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,304,494,916,299, is 1.

Now, the common factors can be found like this.

107:107

304:2x 2x 2x 2x 19

494:2x 13x 19

916:2x 2x 229

299:13x 23

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

2x 2x 2x 13x 19 = 1976

Therefore, the value for common factors is 1976.

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 = 4400995983488/(1x1976)

LCM = 4400995983488/1976

LCM = 2227224688

Thus, we can understand that the LCM of 107,304,494,916,299 is 2227224688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 304, 494, 916, 299

1. What is the LCM of 107, 304, 494, 916, 299?

Answer: LCM of 107, 304, 494, 916, 299 is 2227224688.

2. How to calculate the LCM of 107, 304, 494, 916, 299?

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 107, 304, 494, 916, 299.

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}.