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LCM of 186, 961, 989

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


Find the LCM of 186, 961, 989 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 186, 961, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 186,961,989

Given numbers are 186,961,989

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

The LCM of 186,961,989 is 5702574.

Find LCM of 186,961,989 with Prime Factorization


31 186, 961, 989
6, 31, 989

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

31 x 6 x 31 x 989 = 5702574

Therefore, the lowest common multiple of 186,961,989 is 5702574.

LCM Formula to Find Lowest Common Multiple of 186,961,989

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.

186 x 961 x 989 = 176779794

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.

186 : 1, 2, 3, 6, 31, 62, 93, 186

961 : 1, 31, 961

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,961,989, is 1.

Now, the common factors can be found like this.

186:2x 3x 31

961:31x 31

989:23x 43

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

31 = 31

Therefore, the value for common factors is 31.

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 = 176779794/(1x31)

LCM = 176779794/31

LCM = 5702574

Thus, we can understand that the LCM of 186,961,989 is 5702574.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 186, 961, 989

1. What is the LCM of 186, 961, 989?

Answer: LCM of 186, 961, 989 is 5702574.

2. How to calculate the LCM of 186, 961, 989?

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 186, 961, 989.

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}.