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LCM of 299, 459, 644, 769, 354

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


Find the LCM of 299, 459, 644, 769, 354 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, 459, 644, 769, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,459,644,769,354

Given numbers are 299,459,644,769,354

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

The LCM of 299,459,644,769,354 is 174349319508.

Find LCM of 299,459,644,769,354 with Prime Factorization


2 299, 459, 644, 769, 354
3 299, 459, 322, 769, 177
23 299, 153, 322, 769, 59
13, 153, 14, 769, 59

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

2 x 3 x 23 x 13 x 153 x 14 x 769 x 59 = 174349319508

Therefore, the lowest common multiple of 299,459,644,769,354 is 174349319508.

LCM Formula to Find Lowest Common Multiple of 299,459,644,769,354

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 459 x 644 x 769 x 354 = 24060206092104

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

459 : 1, 3, 9, 17, 27, 51, 153, 459

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

769 : 1, 769

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,459,644,769,354, is 1.

Now, the common factors can be found like this.

299:13x 23

459:3x 3x 3x 17

644:2x 2x 7x 23

769:769

354:2x 3x 59

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 24060206092104/(1x138)

LCM = 24060206092104/138

LCM = 174349319508

Thus, we can understand that the LCM of 299,459,644,769,354 is 174349319508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 459, 644, 769, 354

1. What is the LCM of 299, 459, 644, 769, 354?

Answer: LCM of 299, 459, 644, 769, 354 is 174349319508.

2. How to calculate the LCM of 299, 459, 644, 769, 354?

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, 459, 644, 769, 354.

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}.