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LCM of 730, 545, 389, 225

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


Find the LCM of 730, 545, 389, 225 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 730, 545, 389, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 730,545,389,225

Given numbers are 730,545,389,225

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

The LCM of 730,545,389,225 is 1392872850.

Find LCM of 730,545,389,225 with Prime Factorization


5 730, 545, 389, 225
146, 109, 389, 45

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

5 x 146 x 109 x 389 x 45 = 1392872850

Therefore, the lowest common multiple of 730,545,389,225 is 1392872850.

LCM Formula to Find Lowest Common Multiple of 730,545,389,225

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.

730 x 545 x 389 x 225 = 34821821250

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

545 : 1, 5, 109, 545

389 : 1, 389

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,545,389,225, is 1.

Now, the common factors can be found like this.

730:2x 5x 73

545:5x 109

389:389

225:3x 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.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 34821821250/(1x25)

LCM = 34821821250/25

LCM = 1392872850

Thus, we can understand that the LCM of 730,545,389,225 is 1392872850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 730, 545, 389, 225

1. What is the LCM of 730, 545, 389, 225?

Answer: LCM of 730, 545, 389, 225 is 1392872850.

2. How to calculate the LCM of 730, 545, 389, 225?

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 730, 545, 389, 225.

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}.