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LCM of 741, 361, 551, 703

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


Find the LCM of 741, 361, 551, 703 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, 361, 551, 703. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,361,551,703

Given numbers are 741,361,551,703

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

The LCM of 741,361,551,703 is 15106767.

Find LCM of 741,361,551,703 with Prime Factorization


19 741, 361, 551, 703
39, 19, 29, 37

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

19 x 39 x 19 x 29 x 37 = 15106767

Therefore, the lowest common multiple of 741,361,551,703 is 15106767.

LCM Formula to Find Lowest Common Multiple of 741,361,551,703

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 361 x 551 x 703 = 103617314853

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

361 : 1, 19, 361

551 : 1, 19, 29, 551

703 : 1, 19, 37, 703

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,361,551,703, is 19.

Now, the common factors can be found like this.

741:3x 13x 19

361:19x 19

551:19x 29

703:19x 37

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 103617314853/(19x361)

LCM = 103617314853/6859

LCM = 15106767

Thus, we can understand that the LCM of 741,361,551,703 is 15106767.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 361, 551, 703

1. What is the LCM of 741, 361, 551, 703?

Answer: LCM of 741, 361, 551, 703 is 15106767.

2. How to calculate the LCM of 741, 361, 551, 703?

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, 361, 551, 703.

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}.