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LCM of 741, 530, 566, 849

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


Find the LCM of 741, 530, 566, 849 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, 530, 566, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,530,566,849

Given numbers are 741,530,566,849

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

The LCM of 741,530,566,849 is 111142590.

Find LCM of 741,530,566,849 with Prime Factorization


2 741, 530, 566, 849
3 741, 265, 283, 849
283 247, 265, 283, 283
247, 265, 1, 1

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

2 x 3 x 283 x 247 x 265 x 1 x 1 = 111142590

Therefore, the lowest common multiple of 741,530,566,849 is 111142590.

LCM Formula to Find Lowest Common Multiple of 741,530,566,849

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 530 x 566 x 849 = 188720117820

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

530 : 1, 2, 5, 10, 53, 106, 265, 530

566 : 1, 2, 283, 566

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,530,566,849, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

530:2x 5x 53

566:2x 283

849:3x 283

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

2x 3x 283 = 1698

Therefore, the value for common factors is 1698.

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 = 188720117820/(1x1698)

LCM = 188720117820/1698

LCM = 111142590

Thus, we can understand that the LCM of 741,530,566,849 is 111142590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 530, 566, 849

1. What is the LCM of 741, 530, 566, 849?

Answer: LCM of 741, 530, 566, 849 is 111142590.

2. How to calculate the LCM of 741, 530, 566, 849?

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, 530, 566, 849.

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}.