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LCM of 984, 184, 164, 441

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


Find the LCM of 984, 184, 164, 441 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 984, 184, 164, 441. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 984,184,164,441

Given numbers are 984,184,164,441

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

The LCM of 984,184,164,441 is 3326904.

Find LCM of 984,184,164,441 with Prime Factorization


2 984, 184, 164, 441
2 492, 92, 82, 441
2 246, 46, 41, 441
3 123, 23, 41, 441
41 41, 23, 41, 147
1, 23, 1, 147

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

2 x 2 x 2 x 3 x 41 x 1 x 23 x 1 x 147 = 3326904

Therefore, the lowest common multiple of 984,184,164,441 is 3326904.

LCM Formula to Find Lowest Common Multiple of 984,184,164,441

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.

984 x 184 x 164 x 441 = 13094694144

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.

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

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

164 : 1, 2, 4, 41, 82, 164

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,184,164,441, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

184:2x 2x 2x 23

164:2x 2x 41

441:3x 3x 7x 7

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 3x 41 = 3936

Therefore, the value for common factors is 3936.

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 = 13094694144/(1x3936)

LCM = 13094694144/3936

LCM = 3326904

Thus, we can understand that the LCM of 984,184,164,441 is 3326904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 984, 184, 164, 441

1. What is the LCM of 984, 184, 164, 441?

Answer: LCM of 984, 184, 164, 441 is 3326904.

2. How to calculate the LCM of 984, 184, 164, 441?

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 984, 184, 164, 441.

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}.