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LCM of 629, 200, 741, 551

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


Find the LCM of 629, 200, 741, 551 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 629, 200, 741, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,200,741,551

Given numbers are 629,200,741,551

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

The LCM of 629,200,741,551 is 2703316200.

Find LCM of 629,200,741,551 with Prime Factorization


19 629, 200, 741, 551
629, 200, 39, 29

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

19 x 629 x 200 x 39 x 29 = 2703316200

Therefore, the lowest common multiple of 629,200,741,551 is 2703316200.

LCM Formula to Find Lowest Common Multiple of 629,200,741,551

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.

629 x 200 x 741 x 551 = 51363007800

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.

629 : 1, 17, 37, 629

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,200,741,551, is 1.

Now, the common factors can be found like this.

629:17x 37

200:2x 2x 2x 5x 5

741:3x 13x 19

551:19x 29

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

19 = 19

Therefore, the value for common factors is 19.

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 = 51363007800/(1x19)

LCM = 51363007800/19

LCM = 2703316200

Thus, we can understand that the LCM of 629,200,741,551 is 2703316200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 200, 741, 551

1. What is the LCM of 629, 200, 741, 551?

Answer: LCM of 629, 200, 741, 551 is 2703316200.

2. How to calculate the LCM of 629, 200, 741, 551?

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 629, 200, 741, 551.

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}.