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LCM of 239, 924, 890, 400, 130

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


Find the LCM of 239, 924, 890, 400, 130 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 239, 924, 890, 400, 130. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,924,890,400,130

Given numbers are 239,924,890,400,130

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

The LCM of 239,924,890,400,130 is 25550725200.

Find LCM of 239,924,890,400,130 with Prime Factorization


2 239, 924, 890, 400, 130
2 239, 462, 445, 200, 65
5 239, 231, 445, 100, 65
239, 231, 89, 20, 13

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

2 x 2 x 5 x 239 x 231 x 89 x 20 x 13 = 25550725200

Therefore, the lowest common multiple of 239,924,890,400,130 is 25550725200.

LCM Formula to Find Lowest Common Multiple of 239,924,890,400,130

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.

239 x 924 x 890 x 400 x 130 = 10220290080000

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.

239 : 1, 239

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

890 : 1, 2, 5, 10, 89, 178, 445, 890

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,924,890,400,130, is 1.

Now, the common factors can be found like this.

239:239

924:2x 2x 3x 7x 11

890:2x 5x 89

400:2x 2x 2x 2x 5x 5

130:2x 5x 13

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 10220290080000/(1x400)

LCM = 10220290080000/400

LCM = 25550725200

Thus, we can understand that the LCM of 239,924,890,400,130 is 25550725200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 924, 890, 400, 130

1. What is the LCM of 239, 924, 890, 400, 130?

Answer: LCM of 239, 924, 890, 400, 130 is 25550725200.

2. How to calculate the LCM of 239, 924, 890, 400, 130?

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 239, 924, 890, 400, 130.

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}.