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LCM of 511, 161, 465, 745, 989

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


Find the LCM of 511, 161, 465, 745, 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 511, 161, 465, 745, 989. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 511,161,465,745,989

Given numbers are 511,161,465,745,989

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

The LCM of 511,161,465,745,989 is 35015184015.

Find LCM of 511,161,465,745,989 with Prime Factorization


5 511, 161, 465, 745, 989
7 511, 161, 93, 149, 989
23 73, 23, 93, 149, 989
73, 1, 93, 149, 43

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

5 x 7 x 23 x 73 x 1 x 93 x 149 x 43 = 35015184015

Therefore, the lowest common multiple of 511,161,465,745,989 is 35015184015.

LCM Formula to Find Lowest Common Multiple of 511,161,465,745,989

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.

511 x 161 x 465 x 745 x 989 = 28187223132075

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.

511 : 1, 7, 73, 511

161 : 1, 7, 23, 161

465 : 1, 3, 5, 15, 31, 93, 155, 465

745 : 1, 5, 149, 745

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,161,465,745,989, is 1.

Now, the common factors can be found like this.

511:7x 73

161:7x 23

465:3x 5x 31

745:5x 149

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.

5x 7x 23 = 805

Therefore, the value for common factors is 805.

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 = 28187223132075/(1x805)

LCM = 28187223132075/805

LCM = 35015184015

Thus, we can understand that the LCM of 511,161,465,745,989 is 35015184015.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 511, 161, 465, 745, 989

1. What is the LCM of 511, 161, 465, 745, 989?

Answer: LCM of 511, 161, 465, 745, 989 is 35015184015.

2. How to calculate the LCM of 511, 161, 465, 745, 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 511, 161, 465, 745, 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}.