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LCM of 184, 961, 984, 321, 200

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


Find the LCM of 184, 961, 984, 321, 200 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 184, 961, 984, 321, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 184,961,984,321,200

Given numbers are 184,961,984,321,200

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

The LCM of 184,961,984,321,200 is 58179516600.

Find LCM of 184,961,984,321,200 with Prime Factorization


2 184, 961, 984, 321, 200
2 92, 961, 492, 321, 100
2 46, 961, 246, 321, 50
3 23, 961, 123, 321, 25
23, 961, 41, 107, 25

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

2 x 2 x 2 x 3 x 23 x 961 x 41 x 107 x 25 = 58179516600

Therefore, the lowest common multiple of 184,961,984,321,200 is 58179516600.

LCM Formula to Find Lowest Common Multiple of 184,961,984,321,200

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.

184 x 961 x 984 x 321 x 200 = 11170467187200

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.

184 : 1, 2, 4, 8, 23, 46, 92, 184

961 : 1, 31, 961

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

321 : 1, 3, 107, 321

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,961,984,321,200, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

961:31x 31

984:2x 2x 2x 3x 41

321:3x 107

200:2x 2x 2x 5x 5

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

2x 2x 2x 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 11170467187200/(1x192)

LCM = 11170467187200/192

LCM = 58179516600

Thus, we can understand that the LCM of 184,961,984,321,200 is 58179516600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 184, 961, 984, 321, 200

1. What is the LCM of 184, 961, 984, 321, 200?

Answer: LCM of 184, 961, 984, 321, 200 is 58179516600.

2. How to calculate the LCM of 184, 961, 984, 321, 200?

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 184, 961, 984, 321, 200.

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}.