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LCM of 252, 799, 303, 503, 578

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


Find the LCM of 252, 799, 303, 503, 578 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 252, 799, 303, 503, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 252,799,303,503,578

Given numbers are 252,799,303,503,578

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

The LCM of 252,799,303,503,578 is 173894401548.

Find LCM of 252,799,303,503,578 with Prime Factorization


2 252, 799, 303, 503, 578
3 126, 799, 303, 503, 289
17 42, 799, 101, 503, 289
42, 47, 101, 503, 17

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

2 x 3 x 17 x 42 x 47 x 101 x 503 x 17 = 173894401548

Therefore, the lowest common multiple of 252,799,303,503,578 is 173894401548.

LCM Formula to Find Lowest Common Multiple of 252,799,303,503,578

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.

252 x 799 x 303 x 503 x 578 = 17737228957896

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.

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

799 : 1, 17, 47, 799

303 : 1, 3, 101, 303

503 : 1, 503

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,799,303,503,578, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

799:17x 47

303:3x 101

503:503

578:2x 17x 17

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 17 = 102

Therefore, the value for common factors is 102.

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 = 17737228957896/(1x102)

LCM = 17737228957896/102

LCM = 173894401548

Thus, we can understand that the LCM of 252,799,303,503,578 is 173894401548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 252, 799, 303, 503, 578

1. What is the LCM of 252, 799, 303, 503, 578?

Answer: LCM of 252, 799, 303, 503, 578 is 173894401548.

2. How to calculate the LCM of 252, 799, 303, 503, 578?

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 252, 799, 303, 503, 578.

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}.