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LCM of 503, 468, 153, 754

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


Find the LCM of 503, 468, 153, 754 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, 468, 153, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 503,468,153,754

Given numbers are 503,468,153,754

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

The LCM of 503,468,153,754 is 116054172.

Find LCM of 503,468,153,754 with Prime Factorization


2 503, 468, 153, 754
3 503, 234, 153, 377
3 503, 78, 51, 377
13 503, 26, 17, 377
503, 2, 17, 29

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

2 x 3 x 3 x 13 x 503 x 2 x 17 x 29 = 116054172

Therefore, the lowest common multiple of 503,468,153,754 is 116054172.

LCM Formula to Find Lowest Common Multiple of 503,468,153,754

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 468 x 153 x 754 = 27156676248

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 503,468,153,754, is 1.

Now, the common factors can be found like this.

503:503

468:2x 2x 3x 3x 13

153:3x 3x 17

754:2x 13x 29

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

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 27156676248/(1x234)

LCM = 27156676248/234

LCM = 116054172

Thus, we can understand that the LCM of 503,468,153,754 is 116054172.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 503, 468, 153, 754

1. What is the LCM of 503, 468, 153, 754?

Answer: LCM of 503, 468, 153, 754 is 116054172.

2. How to calculate the LCM of 503, 468, 153, 754?

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, 468, 153, 754.

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}.