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LCM of 890, 960, 370, 899, 453

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


Find the LCM of 890, 960, 370, 899, 453 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 890, 960, 370, 899, 453. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 890,960,370,899,453

Given numbers are 890,960,370,899,453

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

The LCM of 890,960,370,899,453 is 429140598720.

Find LCM of 890,960,370,899,453 with Prime Factorization


2 890, 960, 370, 899, 453
3 445, 480, 185, 899, 453
5 445, 160, 185, 899, 151
89, 32, 37, 899, 151

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

2 x 3 x 5 x 89 x 32 x 37 x 899 x 151 = 429140598720

Therefore, the lowest common multiple of 890,960,370,899,453 is 429140598720.

LCM Formula to Find Lowest Common Multiple of 890,960,370,899,453

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.

890 x 960 x 370 x 899 x 453 = 128742179616000

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.

890 : 1, 2, 5, 10, 89, 178, 445, 890

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

370 : 1, 2, 5, 10, 37, 74, 185, 370

899 : 1, 29, 31, 899

453 : 1, 3, 151, 453

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,960,370,899,453, is 1.

Now, the common factors can be found like this.

890:2x 5x 89

960:2x 2x 2x 2x 2x 2x 3x 5

370:2x 5x 37

899:29x 31

453:3x 151

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 128742179616000/(1x300)

LCM = 128742179616000/300

LCM = 429140598720

Thus, we can understand that the LCM of 890,960,370,899,453 is 429140598720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 890, 960, 370, 899, 453

1. What is the LCM of 890, 960, 370, 899, 453?

Answer: LCM of 890, 960, 370, 899, 453 is 429140598720.

2. How to calculate the LCM of 890, 960, 370, 899, 453?

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 890, 960, 370, 899, 453.

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}.