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LCM of 895, 317, 365, 564

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


Find the LCM of 895, 317, 365, 564 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 895, 317, 365, 564. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 895,317,365,564

Given numbers are 895,317,365,564

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

The LCM of 895,317,365,564 is 11681113980.

Find LCM of 895,317,365,564 with Prime Factorization


5 895, 317, 365, 564
179, 317, 73, 564

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

5 x 179 x 317 x 73 x 564 = 11681113980

Therefore, the lowest common multiple of 895,317,365,564 is 11681113980.

LCM Formula to Find Lowest Common Multiple of 895,317,365,564

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.

895 x 317 x 365 x 564 = 58405569900

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.

895 : 1, 5, 179, 895

317 : 1, 317

365 : 1, 5, 73, 365

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 895,317,365,564, is 1.

Now, the common factors can be found like this.

895:5x 179

317:317

365:5x 73

564:2x 2x 3x 47

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 = 58405569900/(1x5)

LCM = 58405569900/5

LCM = 11681113980

Thus, we can understand that the LCM of 895,317,365,564 is 11681113980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 895, 317, 365, 564

1. What is the LCM of 895, 317, 365, 564?

Answer: LCM of 895, 317, 365, 564 is 11681113980.

2. How to calculate the LCM of 895, 317, 365, 564?

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 895, 317, 365, 564.

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}.