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LCM of 451, 825, 442

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


Find the LCM of 451, 825, 442 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 451, 825, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 451,825,442

Given numbers are 451,825,442

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

The LCM of 451,825,442 is 14950650.

Find LCM of 451,825,442 with Prime Factorization


11 451, 825, 442
41, 75, 442

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

11 x 41 x 75 x 442 = 14950650

Therefore, the lowest common multiple of 451,825,442 is 14950650.

LCM Formula to Find Lowest Common Multiple of 451,825,442

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.

451 x 825 x 442 = 164457150

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.

451 : 1, 11, 41, 451

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,825,442, is 1.

Now, the common factors can be found like this.

451:11x 41

825:3x 5x 5x 11

442:2x 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.

11 = 11

Therefore, the value for common factors is 11.

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 = 164457150/(1x11)

LCM = 164457150/11

LCM = 14950650

Thus, we can understand that the LCM of 451,825,442 is 14950650.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 451, 825, 442

1. What is the LCM of 451, 825, 442?

Answer: LCM of 451, 825, 442 is 14950650.

2. How to calculate the LCM of 451, 825, 442?

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 451, 825, 442.

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}.