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LCM of 564, 494, 339, 665

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


Find the LCM of 564, 494, 339, 665 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 564, 494, 339, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,494,339,665

Given numbers are 564,494,339,665

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

The LCM of 564,494,339,665 is 550963140.

Find LCM of 564,494,339,665 with Prime Factorization


2 564, 494, 339, 665
3 282, 247, 339, 665
19 94, 247, 113, 665
94, 13, 113, 35

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

2 x 3 x 19 x 94 x 13 x 113 x 35 = 550963140

Therefore, the lowest common multiple of 564,494,339,665 is 550963140.

LCM Formula to Find Lowest Common Multiple of 564,494,339,665

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.

564 x 494 x 339 x 665 = 62809797960

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

494 : 1, 2, 13, 19, 26, 38, 247, 494

339 : 1, 3, 113, 339

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,494,339,665, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

494:2x 13x 19

339:3x 113

665:5x 7x 19

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 19 = 114

Therefore, the value for common factors is 114.

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 = 62809797960/(1x114)

LCM = 62809797960/114

LCM = 550963140

Thus, we can understand that the LCM of 564,494,339,665 is 550963140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 494, 339, 665

1. What is the LCM of 564, 494, 339, 665?

Answer: LCM of 564, 494, 339, 665 is 550963140.

2. How to calculate the LCM of 564, 494, 339, 665?

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 564, 494, 339, 665.

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}.