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LCM of 741, 722, 722, 652

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


Find the LCM of 741, 722, 722, 652 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 741, 722, 722, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,722,722,652

Given numbers are 741,722,722,652

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

The LCM of 741,722,722,652 is 9179508.

Find LCM of 741,722,722,652 with Prime Factorization


2 741, 722, 722, 652
19 741, 361, 361, 326
19 39, 19, 19, 326
39, 1, 1, 326

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

2 x 19 x 19 x 39 x 1 x 1 x 326 = 9179508

Therefore, the lowest common multiple of 741,722,722,652 is 9179508.

LCM Formula to Find Lowest Common Multiple of 741,722,722,652

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.

741 x 722 x 722 x 652 = 251848981488

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.

741 : 1, 3, 13, 19, 39, 57, 247, 741

722 : 1, 2, 19, 38, 361, 722

722 : 1, 2, 19, 38, 361, 722

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,722,722,652, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

722:2x 19x 19

722:2x 19x 19

652:2x 2x 163

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 19x 19x 19 = 27436

Therefore, the value for common factors is 27436.

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 = 251848981488/(1x27436)

LCM = 251848981488/27436

LCM = 9179508

Thus, we can understand that the LCM of 741,722,722,652 is 9179508.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 722, 722, 652

1. What is the LCM of 741, 722, 722, 652?

Answer: LCM of 741, 722, 722, 652 is 9179508.

2. How to calculate the LCM of 741, 722, 722, 652?

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 741, 722, 722, 652.

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}.