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LCM of 671, 484, 452, 735, 725

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


Find the LCM of 671, 484, 452, 735, 725 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 671, 484, 452, 735, 725. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,484,452,735,725

Given numbers are 671,484,452,735,725

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

The LCM of 671,484,452,735,725 is 355556793900.

Find LCM of 671,484,452,735,725 with Prime Factorization


2 671, 484, 452, 735, 725
2 671, 242, 226, 735, 725
5 671, 121, 113, 735, 725
11 671, 121, 113, 147, 145
61, 11, 113, 147, 145

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

2 x 2 x 5 x 11 x 61 x 11 x 113 x 147 x 145 = 355556793900

Therefore, the lowest common multiple of 671,484,452,735,725 is 355556793900.

LCM Formula to Find Lowest Common Multiple of 671,484,452,735,725

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.

671 x 484 x 452 x 735 x 725 = 78222494658000

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.

671 : 1, 11, 61, 671

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

452 : 1, 2, 4, 113, 226, 452

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,484,452,735,725, is 1.

Now, the common factors can be found like this.

671:11x 61

484:2x 2x 11x 11

452:2x 2x 113

735:3x 5x 7x 7

725:5x 5x 29

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

2x 2x 5x 11 = 220

Therefore, the value for common factors is 220.

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 = 78222494658000/(1x220)

LCM = 78222494658000/220

LCM = 355556793900

Thus, we can understand that the LCM of 671,484,452,735,725 is 355556793900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 484, 452, 735, 725

1. What is the LCM of 671, 484, 452, 735, 725?

Answer: LCM of 671, 484, 452, 735, 725 is 355556793900.

2. How to calculate the LCM of 671, 484, 452, 735, 725?

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 671, 484, 452, 735, 725.

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}.