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LCM of 299, 133, 884, 374

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


Find the LCM of 299, 133, 884, 374 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, 133, 884, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,133,884,374

Given numbers are 299,133,884,374

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

The LCM of 299,133,884,374 is 29745716.

Find LCM of 299,133,884,374 with Prime Factorization


2 299, 133, 884, 374
13 299, 133, 442, 187
17 23, 133, 34, 187
23, 133, 2, 11

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

2 x 13 x 17 x 23 x 133 x 2 x 11 = 29745716

Therefore, the lowest common multiple of 299,133,884,374 is 29745716.

LCM Formula to Find Lowest Common Multiple of 299,133,884,374

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 133 x 884 x 374 = 13147606472

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

133 : 1, 7, 19, 133

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,133,884,374, is 1.

Now, the common factors can be found like this.

299:13x 23

133:7x 19

884:2x 2x 13x 17

374:2x 11x 17

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 13147606472/(1x442)

LCM = 13147606472/442

LCM = 29745716

Thus, we can understand that the LCM of 299,133,884,374 is 29745716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 133, 884, 374

1. What is the LCM of 299, 133, 884, 374?

Answer: LCM of 299, 133, 884, 374 is 29745716.

2. How to calculate the LCM of 299, 133, 884, 374?

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, 133, 884, 374.

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}.