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LCM of 339, 505, 551, 520

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


Find the LCM of 339, 505, 551, 520 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 339, 505, 551, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,505,551,520

Given numbers are 339,505,551,520

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

The LCM of 339,505,551,520 is 9810158280.

Find LCM of 339,505,551,520 with Prime Factorization


5 339, 505, 551, 520
339, 101, 551, 104

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

5 x 339 x 101 x 551 x 104 = 9810158280

Therefore, the lowest common multiple of 339,505,551,520 is 9810158280.

LCM Formula to Find Lowest Common Multiple of 339,505,551,520

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.

339 x 505 x 551 x 520 = 49050791400

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.

339 : 1, 3, 113, 339

505 : 1, 5, 101, 505

551 : 1, 19, 29, 551

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,505,551,520, is 1.

Now, the common factors can be found like this.

339:3x 113

505:5x 101

551:19x 29

520:2x 2x 2x 5x 13

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

5 = 5

Therefore, the value for common factors is 5.

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 = 49050791400/(1x5)

LCM = 49050791400/5

LCM = 9810158280

Thus, we can understand that the LCM of 339,505,551,520 is 9810158280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 505, 551, 520

1. What is the LCM of 339, 505, 551, 520?

Answer: LCM of 339, 505, 551, 520 is 9810158280.

2. How to calculate the LCM of 339, 505, 551, 520?

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 339, 505, 551, 520.

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}.