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LCM of 505, 498, 948, 200

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


Find the LCM of 505, 498, 948, 200 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 505, 498, 948, 200. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,498,948,200

Given numbers are 505,498,948,200

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

The LCM of 505,498,948,200 is 397354200.

Find LCM of 505,498,948,200 with Prime Factorization


2 505, 498, 948, 200
2 505, 249, 474, 100
3 505, 249, 237, 50
5 505, 83, 79, 50
101, 83, 79, 10

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

2 x 2 x 3 x 5 x 101 x 83 x 79 x 10 = 397354200

Therefore, the lowest common multiple of 505,498,948,200 is 397354200.

LCM Formula to Find Lowest Common Multiple of 505,498,948,200

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.

505 x 498 x 948 x 200 = 47682504000

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.

505 : 1, 5, 101, 505

498 : 1, 2, 3, 6, 83, 166, 249, 498

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,498,948,200, is 1.

Now, the common factors can be found like this.

505:5x 101

498:2x 3x 83

948:2x 2x 3x 79

200:2x 2x 2x 5x 5

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 2x 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 47682504000/(1x120)

LCM = 47682504000/120

LCM = 397354200

Thus, we can understand that the LCM of 505,498,948,200 is 397354200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 498, 948, 200

1. What is the LCM of 505, 498, 948, 200?

Answer: LCM of 505, 498, 948, 200 is 397354200.

2. How to calculate the LCM of 505, 498, 948, 200?

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 505, 498, 948, 200.

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}.