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LCM of 452, 671, 265, 150, 440

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


Find the LCM of 452, 671, 265, 150, 440 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 452, 671, 265, 150, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 452,671,265,150,440

Given numbers are 452,671,265,150,440

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

The LCM of 452,671,265,150,440 is 2411171400.

Find LCM of 452,671,265,150,440 with Prime Factorization


2 452, 671, 265, 150, 440
2 226, 671, 265, 75, 220
5 113, 671, 265, 75, 110
11 113, 671, 53, 15, 22
113, 61, 53, 15, 2

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

2 x 2 x 5 x 11 x 113 x 61 x 53 x 15 x 2 = 2411171400

Therefore, the lowest common multiple of 452,671,265,150,440 is 2411171400.

LCM Formula to Find Lowest Common Multiple of 452,671,265,150,440

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.

452 x 671 x 265 x 150 x 440 = 5304577080000

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.

452 : 1, 2, 4, 113, 226, 452

671 : 1, 11, 61, 671

265 : 1, 5, 53, 265

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,671,265,150,440, is 1.

Now, the common factors can be found like this.

452:2x 2x 113

671:11x 61

265:5x 53

150:2x 3x 5x 5

440:2x 2x 2x 5x 11

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 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 5304577080000/(1x2200)

LCM = 5304577080000/2200

LCM = 2411171400

Thus, we can understand that the LCM of 452,671,265,150,440 is 2411171400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 452, 671, 265, 150, 440

1. What is the LCM of 452, 671, 265, 150, 440?

Answer: LCM of 452, 671, 265, 150, 440 is 2411171400.

2. How to calculate the LCM of 452, 671, 265, 150, 440?

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 452, 671, 265, 150, 440.

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}.