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LCM of 230, 137, 272, 600

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


Find the LCM of 230, 137, 272, 600 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 230, 137, 272, 600. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,137,272,600

Given numbers are 230,137,272,600

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

The LCM of 230,137,272,600 is 64280400.

Find LCM of 230,137,272,600 with Prime Factorization


2 230, 137, 272, 600
2 115, 137, 136, 300
2 115, 137, 68, 150
5 115, 137, 34, 75
23, 137, 34, 15

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

2 x 2 x 2 x 5 x 23 x 137 x 34 x 15 = 64280400

Therefore, the lowest common multiple of 230,137,272,600 is 64280400.

LCM Formula to Find Lowest Common Multiple of 230,137,272,600

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.

230 x 137 x 272 x 600 = 5142432000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

137 : 1, 137

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,137,272,600, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

137:137

272:2x 2x 2x 2x 17

600:2x 2x 2x 3x 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 2x 5 = 80

Therefore, the value for common factors is 80.

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 = 5142432000/(1x80)

LCM = 5142432000/80

LCM = 64280400

Thus, we can understand that the LCM of 230,137,272,600 is 64280400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 137, 272, 600

1. What is the LCM of 230, 137, 272, 600?

Answer: LCM of 230, 137, 272, 600 is 64280400.

2. How to calculate the LCM of 230, 137, 272, 600?

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 230, 137, 272, 600.

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}.