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LCM of 900, 450, 627, 241

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


Find the LCM of 900, 450, 627, 241 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, 450, 627, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 900,450,627,241

Given numbers are 900,450,627,241

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

The LCM of 900,450,627,241 is 45332100.

Find LCM of 900,450,627,241 with Prime Factorization


2 900, 450, 627, 241
3 450, 225, 627, 241
3 150, 75, 209, 241
5 50, 25, 209, 241
5 10, 5, 209, 241
2, 1, 209, 241

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

2 x 3 x 3 x 5 x 5 x 2 x 1 x 209 x 241 = 45332100

Therefore, the lowest common multiple of 900,450,627,241 is 45332100.

LCM Formula to Find Lowest Common Multiple of 900,450,627,241

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 450 x 627 x 241 = 61198335000

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

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,450,627,241, is 1.

Now, the common factors can be found like this.

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

450:2x 3x 3x 5x 5

627:3x 11x 19

241:241

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 61198335000/(1x1350)

LCM = 61198335000/1350

LCM = 45332100

Thus, we can understand that the LCM of 900,450,627,241 is 45332100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 900, 450, 627, 241

1. What is the LCM of 900, 450, 627, 241?

Answer: LCM of 900, 450, 627, 241 is 45332100.

2. How to calculate the LCM of 900, 450, 627, 241?

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, 450, 627, 241.

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}.