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LCM of 459, 450, 347, 212

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


Find the LCM of 459, 450, 347, 212 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 459, 450, 347, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 459,450,347,212

Given numbers are 459,450,347,212

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

The LCM of 459,450,347,212 is 844146900.

Find LCM of 459,450,347,212 with Prime Factorization


2 459, 450, 347, 212
3 459, 225, 347, 106
3 153, 75, 347, 106
51, 25, 347, 106

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

2 x 3 x 3 x 51 x 25 x 347 x 106 = 844146900

Therefore, the lowest common multiple of 459,450,347,212 is 844146900.

LCM Formula to Find Lowest Common Multiple of 459,450,347,212

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.

459 x 450 x 347 x 212 = 15194644200

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.

459 : 1, 3, 9, 17, 27, 51, 153, 459

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

347 : 1, 347

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,450,347,212, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

450:2x 3x 3x 5x 5

347:347

212:2x 2x 53

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 15194644200/(1x18)

LCM = 15194644200/18

LCM = 844146900

Thus, we can understand that the LCM of 459,450,347,212 is 844146900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 459, 450, 347, 212

1. What is the LCM of 459, 450, 347, 212?

Answer: LCM of 459, 450, 347, 212 is 844146900.

2. How to calculate the LCM of 459, 450, 347, 212?

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 459, 450, 347, 212.

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}.