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LCM of 369, 477, 225, 735

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


Find the LCM of 369, 477, 225, 735 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 369, 477, 225, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,477,225,735

Given numbers are 369,477,225,735

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

The LCM of 369,477,225,735 is 23957325.

Find LCM of 369,477,225,735 with Prime Factorization


3 369, 477, 225, 735
3 123, 159, 75, 245
5 41, 53, 25, 245
41, 53, 5, 49

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

3 x 3 x 5 x 41 x 53 x 5 x 49 = 23957325

Therefore, the lowest common multiple of 369,477,225,735 is 23957325.

LCM Formula to Find Lowest Common Multiple of 369,477,225,735

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.

369 x 477 x 225 x 735 = 29108149875

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.

369 : 1, 3, 9, 41, 123, 369

477 : 1, 3, 9, 53, 159, 477

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,477,225,735, is 3.

Now, the common factors can be found like this.

369:3x 3x 41

477:3x 3x 53

225:3x 3x 5x 5

735:3x 5x 7x 7

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 3x 5 = 405

Therefore, the value for common factors is 405.

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 = 29108149875/(3x405)

LCM = 29108149875/1215

LCM = 23957325

Thus, we can understand that the LCM of 369,477,225,735 is 23957325.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 477, 225, 735

1. What is the LCM of 369, 477, 225, 735?

Answer: LCM of 369, 477, 225, 735 is 23957325.

2. How to calculate the LCM of 369, 477, 225, 735?

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 369, 477, 225, 735.

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}.