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LCM of 337, 408, 544, 816, 719

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


Find the LCM of 337, 408, 544, 816, 719 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 337, 408, 544, 816, 719. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 337,408,544,816,719

Given numbers are 337,408,544,816,719

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

The LCM of 337,408,544,816,719 is 395438496.

Find LCM of 337,408,544,816,719 with Prime Factorization


2 337, 408, 544, 816, 719
2 337, 204, 272, 408, 719
2 337, 102, 136, 204, 719
2 337, 51, 68, 102, 719
3 337, 51, 34, 51, 719
17 337, 17, 34, 17, 719
337, 1, 2, 1, 719

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

2 x 2 x 2 x 2 x 3 x 17 x 337 x 1 x 2 x 1 x 719 = 395438496

Therefore, the lowest common multiple of 337,408,544,816,719 is 395438496.

LCM Formula to Find Lowest Common Multiple of 337,408,544,816,719

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.

337 x 408 x 544 x 816 x 719 = 43884182532096

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.

337 : 1, 337

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

719 : 1, 719

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,408,544,816,719, is 1.

Now, the common factors can be found like this.

337:337

408:2x 2x 2x 3x 17

544:2x 2x 2x 2x 2x 17

816:2x 2x 2x 2x 3x 17

719:719

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 2x 2x 2x 2x 3x 17x 17 = 110976

Therefore, the value for common factors is 110976.

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 = 43884182532096/(1x110976)

LCM = 43884182532096/110976

LCM = 395438496

Thus, we can understand that the LCM of 337,408,544,816,719 is 395438496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 337, 408, 544, 816, 719

1. What is the LCM of 337, 408, 544, 816, 719?

Answer: LCM of 337, 408, 544, 816, 719 is 395438496.

2. How to calculate the LCM of 337, 408, 544, 816, 719?

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 337, 408, 544, 816, 719.

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}.