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LCM of 560, 505, 355, 338

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


Find the LCM of 560, 505, 355, 338 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 560, 505, 355, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,505,355,338

Given numbers are 560,505,355,338

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

The LCM of 560,505,355,338 is 678663440.

Find LCM of 560,505,355,338 with Prime Factorization


2 560, 505, 355, 338
5 280, 505, 355, 169
56, 101, 71, 169

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

2 x 5 x 56 x 101 x 71 x 169 = 678663440

Therefore, the lowest common multiple of 560,505,355,338 is 678663440.

LCM Formula to Find Lowest Common Multiple of 560,505,355,338

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.

560 x 505 x 355 x 338 = 33933172000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

505 : 1, 5, 101, 505

355 : 1, 5, 71, 355

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,505,355,338, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

505:5x 101

355:5x 71

338:2x 13x 13

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 33933172000/(1x50)

LCM = 33933172000/50

LCM = 678663440

Thus, we can understand that the LCM of 560,505,355,338 is 678663440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 505, 355, 338

1. What is the LCM of 560, 505, 355, 338?

Answer: LCM of 560, 505, 355, 338 is 678663440.

2. How to calculate the LCM of 560, 505, 355, 338?

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 560, 505, 355, 338.

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}.