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LCM of 725, 671, 414, 605

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


Find the LCM of 725, 671, 414, 605 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 725, 671, 414, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 725,671,414,605

Given numbers are 725,671,414,605

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

The LCM of 725,671,414,605 is 2215407150.

Find LCM of 725,671,414,605 with Prime Factorization


5 725, 671, 414, 605
11 145, 671, 414, 121
145, 61, 414, 11

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

5 x 11 x 145 x 61 x 414 x 11 = 2215407150

Therefore, the lowest common multiple of 725,671,414,605 is 2215407150.

LCM Formula to Find Lowest Common Multiple of 725,671,414,605

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.

725 x 671 x 414 x 605 = 121847393250

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.

725 : 1, 5, 25, 29, 145, 725

671 : 1, 11, 61, 671

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 725,671,414,605, is 1.

Now, the common factors can be found like this.

725:5x 5x 29

671:11x 61

414:2x 3x 3x 23

605:5x 11x 11

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 121847393250/(1x55)

LCM = 121847393250/55

LCM = 2215407150

Thus, we can understand that the LCM of 725,671,414,605 is 2215407150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 725, 671, 414, 605

1. What is the LCM of 725, 671, 414, 605?

Answer: LCM of 725, 671, 414, 605 is 2215407150.

2. How to calculate the LCM of 725, 671, 414, 605?

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 725, 671, 414, 605.

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}.