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LCM of 609, 979, 854, 161

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


Find the LCM of 609, 979, 854, 161 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 609, 979, 854, 161. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,979,854,161

Given numbers are 609,979,854,161

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

The LCM of 609,979,854,161 is 1672968066.

Find LCM of 609,979,854,161 with Prime Factorization


7 609, 979, 854, 161
87, 979, 122, 23

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

7 x 87 x 979 x 122 x 23 = 1672968066

Therefore, the lowest common multiple of 609,979,854,161 is 1672968066.

LCM Formula to Find Lowest Common Multiple of 609,979,854,161

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.

609 x 979 x 854 x 161 = 81975435234

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.

609 : 1, 3, 7, 21, 29, 87, 203, 609

979 : 1, 11, 89, 979

854 : 1, 2, 7, 14, 61, 122, 427, 854

161 : 1, 7, 23, 161

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,979,854,161, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

979:11x 89

854:2x 7x 61

161:7x 23

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 81975435234/(1x49)

LCM = 81975435234/49

LCM = 1672968066

Thus, we can understand that the LCM of 609,979,854,161 is 1672968066.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 609, 979, 854, 161

1. What is the LCM of 609, 979, 854, 161?

Answer: LCM of 609, 979, 854, 161 is 1672968066.

2. How to calculate the LCM of 609, 979, 854, 161?

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 609, 979, 854, 161.

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}.