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LCM of 250, 304, 928, 116, 229

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


Find the LCM of 250, 304, 928, 116, 229 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 250, 304, 928, 116, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 250,304,928,116,229

Given numbers are 250,304,928,116,229

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

The LCM of 250,304,928,116,229 is 504716000.

Find LCM of 250,304,928,116,229 with Prime Factorization


2 250, 304, 928, 116, 229
2 125, 152, 464, 58, 229
2 125, 76, 232, 29, 229
2 125, 38, 116, 29, 229
29 125, 19, 58, 29, 229
125, 19, 2, 1, 229

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

2 x 2 x 2 x 2 x 29 x 125 x 19 x 2 x 1 x 229 = 504716000

Therefore, the lowest common multiple of 250,304,928,116,229 is 504716000.

LCM Formula to Find Lowest Common Multiple of 250,304,928,116,229

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.

250 x 304 x 928 x 116 x 229 = 1873505792000

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.

250 : 1, 2, 5, 10, 25, 50, 125, 250

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

116 : 1, 2, 4, 29, 58, 116

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,304,928,116,229, is 1.

Now, the common factors can be found like this.

250:2x 5x 5x 5

304:2x 2x 2x 2x 19

928:2x 2x 2x 2x 2x 29

116:2x 2x 29

229:229

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 2x 2x 2x 2x 29 = 3712

Therefore, the value for common factors is 3712.

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 = 1873505792000/(1x3712)

LCM = 1873505792000/3712

LCM = 504716000

Thus, we can understand that the LCM of 250,304,928,116,229 is 504716000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 250, 304, 928, 116, 229

1. What is the LCM of 250, 304, 928, 116, 229?

Answer: LCM of 250, 304, 928, 116, 229 is 504716000.

2. How to calculate the LCM of 250, 304, 928, 116, 229?

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 250, 304, 928, 116, 229.

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}.