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LCM of 365, 855, 295, 689

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


Find the LCM of 365, 855, 295, 689 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 365, 855, 295, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,855,295,689

Given numbers are 365,855,295,689

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

The LCM of 365,855,295,689 is 2537232165.

Find LCM of 365,855,295,689 with Prime Factorization


5 365, 855, 295, 689
73, 171, 59, 689

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

5 x 73 x 171 x 59 x 689 = 2537232165

Therefore, the lowest common multiple of 365,855,295,689 is 2537232165.

LCM Formula to Find Lowest Common Multiple of 365,855,295,689

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.

365 x 855 x 295 x 689 = 63430804125

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.

365 : 1, 5, 73, 365

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

295 : 1, 5, 59, 295

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,855,295,689, is 1.

Now, the common factors can be found like this.

365:5x 73

855:3x 3x 5x 19

295:5x 59

689:13x 53

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 63430804125/(1x25)

LCM = 63430804125/25

LCM = 2537232165

Thus, we can understand that the LCM of 365,855,295,689 is 2537232165.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 855, 295, 689

1. What is the LCM of 365, 855, 295, 689?

Answer: LCM of 365, 855, 295, 689 is 2537232165.

2. How to calculate the LCM of 365, 855, 295, 689?

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 365, 855, 295, 689.

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}.