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LCM of 450, 232, 560, 944, 103

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


Find the LCM of 450, 232, 560, 944, 103 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 450, 232, 560, 944, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,232,560,944,103

Given numbers are 450,232,560,944,103

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

The LCM of 450,232,560,944,103 is 4441071600.

Find LCM of 450,232,560,944,103 with Prime Factorization


2 450, 232, 560, 944, 103
2 225, 116, 280, 472, 103
2 225, 58, 140, 236, 103
2 225, 29, 70, 118, 103
5 225, 29, 35, 59, 103
45, 29, 7, 59, 103

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

2 x 2 x 2 x 2 x 5 x 45 x 29 x 7 x 59 x 103 = 4441071600

Therefore, the lowest common multiple of 450,232,560,944,103 is 4441071600.

LCM Formula to Find Lowest Common Multiple of 450,232,560,944,103

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.

450 x 232 x 560 x 944 x 103 = 5684571648000

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.

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

232 : 1, 2, 4, 8, 29, 58, 116, 232

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,232,560,944,103, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

232:2x 2x 2x 29

560:2x 2x 2x 2x 5x 7

944:2x 2x 2x 2x 59

103:103

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 2x 2x 2x 5 = 1280

Therefore, the value for common factors is 1280.

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 = 5684571648000/(1x1280)

LCM = 5684571648000/1280

LCM = 4441071600

Thus, we can understand that the LCM of 450,232,560,944,103 is 4441071600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 450, 232, 560, 944, 103

1. What is the LCM of 450, 232, 560, 944, 103?

Answer: LCM of 450, 232, 560, 944, 103 is 4441071600.

2. How to calculate the LCM of 450, 232, 560, 944, 103?

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 450, 232, 560, 944, 103.

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}.