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LCM of 989, 989, 713, 470

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


Find the LCM of 989, 989, 713, 470 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 989, 989, 713, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 989,989,713,470

Given numbers are 989,989,713,470

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

The LCM of 989,989,713,470 is 14409730.

Find LCM of 989,989,713,470 with Prime Factorization


23 989, 989, 713, 470
43 43, 43, 31, 470
1, 1, 31, 470

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

23 x 43 x 1 x 1 x 31 x 470 = 14409730

Therefore, the lowest common multiple of 989,989,713,470 is 14409730.

LCM Formula to Find Lowest Common Multiple of 989,989,713,470

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.

989 x 989 x 713 x 470 = 327778128310

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.

989 : 1, 23, 43, 989

989 : 1, 23, 43, 989

713 : 1, 23, 31, 713

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,989,713,470, is 1.

Now, the common factors can be found like this.

989:23x 43

989:23x 43

713:23x 31

470:2x 5x 47

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

23x 23x 43 = 22747

Therefore, the value for common factors is 22747.

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 = 327778128310/(1x22747)

LCM = 327778128310/22747

LCM = 14409730

Thus, we can understand that the LCM of 989,989,713,470 is 14409730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 989, 989, 713, 470

1. What is the LCM of 989, 989, 713, 470?

Answer: LCM of 989, 989, 713, 470 is 14409730.

2. How to calculate the LCM of 989, 989, 713, 470?

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 989, 989, 713, 470.

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}.