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LCM of 492, 312, 809, 221

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


Find the LCM of 492, 312, 809, 221 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 492, 312, 809, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 492,312,809,221

Given numbers are 492,312,809,221

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

The LCM of 492,312,809,221 is 175928376.

Find LCM of 492,312,809,221 with Prime Factorization


2 492, 312, 809, 221
2 246, 156, 809, 221
3 123, 78, 809, 221
13 41, 26, 809, 221
41, 2, 809, 17

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

2 x 2 x 3 x 13 x 41 x 2 x 809 x 17 = 175928376

Therefore, the lowest common multiple of 492,312,809,221 is 175928376.

LCM Formula to Find Lowest Common Multiple of 492,312,809,221

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.

492 x 312 x 809 x 221 = 27444826656

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

809 : 1, 809

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,312,809,221, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

312:2x 2x 2x 3x 13

809:809

221:13x 17

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 27444826656/(1x156)

LCM = 27444826656/156

LCM = 175928376

Thus, we can understand that the LCM of 492,312,809,221 is 175928376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 492, 312, 809, 221

1. What is the LCM of 492, 312, 809, 221?

Answer: LCM of 492, 312, 809, 221 is 175928376.

2. How to calculate the LCM of 492, 312, 809, 221?

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 492, 312, 809, 221.

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}.