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LCM of 340, 374, 853, 519

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


Find the LCM of 340, 374, 853, 519 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 340, 374, 853, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 340,374,853,519

Given numbers are 340,374,853,519

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

The LCM of 340,374,853,519 is 1655724180.

Find LCM of 340,374,853,519 with Prime Factorization


2 340, 374, 853, 519
17 170, 187, 853, 519
10, 11, 853, 519

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

2 x 17 x 10 x 11 x 853 x 519 = 1655724180

Therefore, the lowest common multiple of 340,374,853,519 is 1655724180.

LCM Formula to Find Lowest Common Multiple of 340,374,853,519

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.

340 x 374 x 853 x 519 = 56294622120

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

853 : 1, 853

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,374,853,519, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

374:2x 11x 17

853:853

519:3x 173

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 56294622120/(1x34)

LCM = 56294622120/34

LCM = 1655724180

Thus, we can understand that the LCM of 340,374,853,519 is 1655724180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 340, 374, 853, 519

1. What is the LCM of 340, 374, 853, 519?

Answer: LCM of 340, 374, 853, 519 is 1655724180.

2. How to calculate the LCM of 340, 374, 853, 519?

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 340, 374, 853, 519.

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}.