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LCM of 187, 174, 125, 488, 245

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


Find the LCM of 187, 174, 125, 488, 245 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 187, 174, 125, 488, 245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,174,125,488,245

Given numbers are 187,174,125,488,245

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

The LCM of 187,174,125,488,245 is 48628041000.

Find LCM of 187,174,125,488,245 with Prime Factorization


2 187, 174, 125, 488, 245
5 187, 87, 125, 244, 245
187, 87, 25, 244, 49

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

2 x 5 x 187 x 87 x 25 x 244 x 49 = 48628041000

Therefore, the lowest common multiple of 187,174,125,488,245 is 48628041000.

LCM Formula to Find Lowest Common Multiple of 187,174,125,488,245

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.

187 x 174 x 125 x 488 x 245 = 486280410000

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.

187 : 1, 11, 17, 187

174 : 1, 2, 3, 6, 29, 58, 87, 174

125 : 1, 5, 25, 125

488 : 1, 2, 4, 8, 61, 122, 244, 488

245 : 1, 5, 7, 35, 49, 245

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,174,125,488,245, is 1.

Now, the common factors can be found like this.

187:11x 17

174:2x 3x 29

125:5x 5x 5

488:2x 2x 2x 61

245:5x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 486280410000/(1x10)

LCM = 486280410000/10

LCM = 48628041000

Thus, we can understand that the LCM of 187,174,125,488,245 is 48628041000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 174, 125, 488, 245

1. What is the LCM of 187, 174, 125, 488, 245?

Answer: LCM of 187, 174, 125, 488, 245 is 48628041000.

2. How to calculate the LCM of 187, 174, 125, 488, 245?

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 187, 174, 125, 488, 245.

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}.