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LCM of 900, 807, 267, 267, 751

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


Find the LCM of 900, 807, 267, 267, 751 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, 807, 267, 267, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,807,267,267,751

Given numbers are 900,807,267,267,751

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

The LCM of 900,807,267,267,751 is 16181721900.

Find LCM of 900,807,267,267,751 with Prime Factorization


3 900, 807, 267, 267, 751
89 300, 269, 89, 89, 751
300, 269, 1, 1, 751

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

3 x 89 x 300 x 269 x 1 x 1 x 751 = 16181721900

Therefore, the lowest common multiple of 900,807,267,267,751 is 16181721900.

LCM Formula to Find Lowest Common Multiple of 900,807,267,267,751

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 807 x 267 x 267 x 751 = 38884677725700

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

807 : 1, 3, 269, 807

267 : 1, 3, 89, 267

267 : 1, 3, 89, 267

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,807,267,267,751, is 1.

Now, the common factors can be found like this.

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

807:3x 269

267:3x 89

267:3x 89

751:751

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 3x 89 = 2403

Therefore, the value for common factors is 2403.

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 = 38884677725700/(1x2403)

LCM = 38884677725700/2403

LCM = 16181721900

Thus, we can understand that the LCM of 900,807,267,267,751 is 16181721900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 807, 267, 267, 751

1. What is the LCM of 900, 807, 267, 267, 751?

Answer: LCM of 900, 807, 267, 267, 751 is 16181721900.

2. How to calculate the LCM of 900, 807, 267, 267, 751?

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, 807, 267, 267, 751.

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}.