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LCM of 504, 459, 403, 100, 741

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


Find the LCM of 504, 459, 403, 100, 741 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 504, 459, 403, 100, 741. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,459,403,100,741

Given numbers are 504,459,403,100,741

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

The LCM of 504,459,403,100,741 is 4920388200.

Find LCM of 504,459,403,100,741 with Prime Factorization


2 504, 459, 403, 100, 741
2 252, 459, 403, 50, 741
3 126, 459, 403, 25, 741
3 42, 153, 403, 25, 247
13 14, 51, 403, 25, 247
14, 51, 31, 25, 19

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

2 x 2 x 3 x 3 x 13 x 14 x 51 x 31 x 25 x 19 = 4920388200

Therefore, the lowest common multiple of 504,459,403,100,741 is 4920388200.

LCM Formula to Find Lowest Common Multiple of 504,459,403,100,741

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.

504 x 459 x 403 x 100 x 741 = 6908225032800

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

459 : 1, 3, 9, 17, 27, 51, 153, 459

403 : 1, 13, 31, 403

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,459,403,100,741, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

459:3x 3x 3x 17

403:13x 31

100:2x 2x 5x 5

741:3x 13x 19

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

2x 2x 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 6908225032800/(1x1404)

LCM = 6908225032800/1404

LCM = 4920388200

Thus, we can understand that the LCM of 504,459,403,100,741 is 4920388200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 459, 403, 100, 741

1. What is the LCM of 504, 459, 403, 100, 741?

Answer: LCM of 504, 459, 403, 100, 741 is 4920388200.

2. How to calculate the LCM of 504, 459, 403, 100, 741?

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 504, 459, 403, 100, 741.

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}.