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LCM of 900, 105, 345, 907

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


Find the LCM of 900, 105, 345, 907 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 900, 105, 345, 907. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,105,345,907

Given numbers are 900,105,345,907

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

The LCM of 900,105,345,907 is 131424300.

Find LCM of 900,105,345,907 with Prime Factorization


3 900, 105, 345, 907
5 300, 35, 115, 907
60, 7, 23, 907

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

3 x 5 x 60 x 7 x 23 x 907 = 131424300

Therefore, the lowest common multiple of 900,105,345,907 is 131424300.

LCM Formula to Find Lowest Common Multiple of 900,105,345,907

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.

900 x 105 x 345 x 907 = 29570467500

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.

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

105 : 1, 3, 5, 7, 15, 21, 35, 105

345 : 1, 3, 5, 15, 23, 69, 115, 345

907 : 1, 907

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,105,345,907, is 1.

Now, the common factors can be found like this.

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

105:3x 5x 7

345:3x 5x 23

907:907

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 29570467500/(1x225)

LCM = 29570467500/225

LCM = 131424300

Thus, we can understand that the LCM of 900,105,345,907 is 131424300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 105, 345, 907

1. What is the LCM of 900, 105, 345, 907?

Answer: LCM of 900, 105, 345, 907 is 131424300.

2. How to calculate the LCM of 900, 105, 345, 907?

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 900, 105, 345, 907.

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}.