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LCM of 741, 380, 545, 759, 851

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


Find the LCM of 741, 380, 545, 759, 851 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, 380, 545, 759, 851. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,380,545,759,851

Given numbers are 741,380,545,759,851

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

The LCM of 741,380,545,759,851 is 15121572180.

Find LCM of 741,380,545,759,851 with Prime Factorization


3 741, 380, 545, 759, 851
5 247, 380, 545, 253, 851
19 247, 76, 109, 253, 851
23 13, 4, 109, 253, 851
13, 4, 109, 11, 37

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

3 x 5 x 19 x 23 x 13 x 4 x 109 x 11 x 37 = 15121572180

Therefore, the lowest common multiple of 741,380,545,759,851 is 15121572180.

LCM Formula to Find Lowest Common Multiple of 741,380,545,759,851

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 380 x 545 x 759 x 851 = 99121905639900

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

545 : 1, 5, 109, 545

759 : 1, 3, 11, 23, 33, 69, 253, 759

851 : 1, 23, 37, 851

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,380,545,759,851, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

380:2x 2x 5x 19

545:5x 109

759:3x 11x 23

851:23x 37

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

3x 5x 19x 23 = 6555

Therefore, the value for common factors is 6555.

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 = 99121905639900/(1x6555)

LCM = 99121905639900/6555

LCM = 15121572180

Thus, we can understand that the LCM of 741,380,545,759,851 is 15121572180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 380, 545, 759, 851

1. What is the LCM of 741, 380, 545, 759, 851?

Answer: LCM of 741, 380, 545, 759, 851 is 15121572180.

2. How to calculate the LCM of 741, 380, 545, 759, 851?

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, 380, 545, 759, 851.

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}.