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LCM of 185, 415, 967, 539, 652

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


Find the LCM of 185, 415, 967, 539, 652 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 185, 415, 967, 539, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 185,415,967,539,652

Given numbers are 185,415,967,539,652

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

The LCM of 185,415,967,539,652 is 5218103100980.

Find LCM of 185,415,967,539,652 with Prime Factorization


5 185, 415, 967, 539, 652
37, 83, 967, 539, 652

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

5 x 37 x 83 x 967 x 539 x 652 = 5218103100980

Therefore, the lowest common multiple of 185,415,967,539,652 is 5218103100980.

LCM Formula to Find Lowest Common Multiple of 185,415,967,539,652

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.

185 x 415 x 967 x 539 x 652 = 26090515504900

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.

185 : 1, 5, 37, 185

415 : 1, 5, 83, 415

967 : 1, 967

539 : 1, 7, 11, 49, 77, 539

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,415,967,539,652, is 1.

Now, the common factors can be found like this.

185:5x 37

415:5x 83

967:967

539:7x 7x 11

652:2x 2x 163

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 = 26090515504900/(1x5)

LCM = 26090515504900/5

LCM = 5218103100980

Thus, we can understand that the LCM of 185,415,967,539,652 is 5218103100980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 185, 415, 967, 539, 652

1. What is the LCM of 185, 415, 967, 539, 652?

Answer: LCM of 185, 415, 967, 539, 652 is 5218103100980.

2. How to calculate the LCM of 185, 415, 967, 539, 652?

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 185, 415, 967, 539, 652.

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}.