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LCM of 503, 702, 299, 841, 629

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


Find the LCM of 503, 702, 299, 841, 629 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 503, 702, 299, 841, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,702,299,841,629

Given numbers are 503,702,299,841,629

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

The LCM of 503,702,299,841,629 is 4296151366182.

Find LCM of 503,702,299,841,629 with Prime Factorization


13 503, 702, 299, 841, 629
503, 54, 23, 841, 629

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

13 x 503 x 54 x 23 x 841 x 629 = 4296151366182

Therefore, the lowest common multiple of 503,702,299,841,629 is 4296151366182.

LCM Formula to Find Lowest Common Multiple of 503,702,299,841,629

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.

503 x 702 x 299 x 841 x 629 = 55849967760366

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.

503 : 1, 503

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

299 : 1, 13, 23, 299

841 : 1, 29, 841

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,702,299,841,629, is 1.

Now, the common factors can be found like this.

503:503

702:2x 3x 3x 3x 13

299:13x 23

841:29x 29

629:17x 37

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

13 = 13

Therefore, the value for common factors is 13.

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 = 55849967760366/(1x13)

LCM = 55849967760366/13

LCM = 4296151366182

Thus, we can understand that the LCM of 503,702,299,841,629 is 4296151366182.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 702, 299, 841, 629

1. What is the LCM of 503, 702, 299, 841, 629?

Answer: LCM of 503, 702, 299, 841, 629 is 4296151366182.

2. How to calculate the LCM of 503, 702, 299, 841, 629?

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 503, 702, 299, 841, 629.

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}.