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LCM of 741, 377, 728, 221

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


Find the LCM of 741, 377, 728, 221 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, 377, 728, 221. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,377,728,221

Given numbers are 741,377,728,221

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

The LCM of 741,377,728,221 is 20457528.

Find LCM of 741,377,728,221 with Prime Factorization


13 741, 377, 728, 221
57, 29, 56, 17

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

13 x 57 x 29 x 56 x 17 = 20457528

Therefore, the lowest common multiple of 741,377,728,221 is 20457528.

LCM Formula to Find Lowest Common Multiple of 741,377,728,221

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 377 x 728 x 221 = 44945189016

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

377 : 1, 13, 29, 377

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

221 : 1, 13, 17, 221

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,377,728,221, is 13.

Now, the common factors can be found like this.

741:3x 13x 19

377:13x 29

728:2x 2x 2x 7x 13

221:13x 17

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 44945189016/(13x169)

LCM = 44945189016/2197

LCM = 20457528

Thus, we can understand that the LCM of 741,377,728,221 is 20457528.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 377, 728, 221

1. What is the LCM of 741, 377, 728, 221?

Answer: LCM of 741, 377, 728, 221 is 20457528.

2. How to calculate the LCM of 741, 377, 728, 221?

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, 377, 728, 221.

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}.