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LCM of 394, 423, 960, 900

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


Find the LCM of 394, 423, 960, 900 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 394, 423, 960, 900. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,423,960,900

Given numbers are 394,423,960,900

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

The LCM of 394,423,960,900 is 133329600.

Find LCM of 394,423,960,900 with Prime Factorization


2 394, 423, 960, 900
2 197, 423, 480, 450
3 197, 423, 240, 225
3 197, 141, 80, 75
5 197, 47, 80, 25
197, 47, 16, 5

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

2 x 2 x 3 x 3 x 5 x 197 x 47 x 16 x 5 = 133329600

Therefore, the lowest common multiple of 394,423,960,900 is 133329600.

LCM Formula to Find Lowest Common Multiple of 394,423,960,900

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.

394 x 423 x 960 x 900 = 143995968000

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.

394 : 1, 2, 197, 394

423 : 1, 3, 9, 47, 141, 423

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,423,960,900, is 1.

Now, the common factors can be found like this.

394:2x 197

423:3x 3x 47

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

900:2x 2x 3x 3x 5x 5

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 3x 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 143995968000/(1x1080)

LCM = 143995968000/1080

LCM = 133329600

Thus, we can understand that the LCM of 394,423,960,900 is 133329600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 423, 960, 900

1. What is the LCM of 394, 423, 960, 900?

Answer: LCM of 394, 423, 960, 900 is 133329600.

2. How to calculate the LCM of 394, 423, 960, 900?

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 394, 423, 960, 900.

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}.