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LCM of 988, 190, 301, 187

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


Find the LCM of 988, 190, 301, 187 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 988, 190, 301, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,190,301,187

Given numbers are 988,190,301,187

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

The LCM of 988,190,301,187 is 278057780.

Find LCM of 988,190,301,187 with Prime Factorization


2 988, 190, 301, 187
19 494, 95, 301, 187
26, 5, 301, 187

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

2 x 19 x 26 x 5 x 301 x 187 = 278057780

Therefore, the lowest common multiple of 988,190,301,187 is 278057780.

LCM Formula to Find Lowest Common Multiple of 988,190,301,187

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.

988 x 190 x 301 x 187 = 10566195640

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

190 : 1, 2, 5, 10, 19, 38, 95, 190

301 : 1, 7, 43, 301

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,190,301,187, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

190:2x 5x 19

301:7x 43

187:11x 17

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 10566195640/(1x38)

LCM = 10566195640/38

LCM = 278057780

Thus, we can understand that the LCM of 988,190,301,187 is 278057780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 190, 301, 187

1. What is the LCM of 988, 190, 301, 187?

Answer: LCM of 988, 190, 301, 187 is 278057780.

2. How to calculate the LCM of 988, 190, 301, 187?

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 988, 190, 301, 187.

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}.