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LCM of 866, 161, 529, 254, 985

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


Find the LCM of 866, 161, 529, 254, 985 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 866, 161, 529, 254, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,161,529,254,985

Given numbers are 866,161,529,254,985

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

The LCM of 866,161,529,254,985 is 401154395810.

Find LCM of 866,161,529,254,985 with Prime Factorization


2 866, 161, 529, 254, 985
23 433, 161, 529, 127, 985
433, 7, 23, 127, 985

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

2 x 23 x 433 x 7 x 23 x 127 x 985 = 401154395810

Therefore, the lowest common multiple of 866,161,529,254,985 is 401154395810.

LCM Formula to Find Lowest Common Multiple of 866,161,529,254,985

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.

866 x 161 x 529 x 254 x 985 = 18453102207260

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.

866 : 1, 2, 433, 866

161 : 1, 7, 23, 161

529 : 1, 23, 529

254 : 1, 2, 127, 254

985 : 1, 5, 197, 985

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,161,529,254,985, is 1.

Now, the common factors can be found like this.

866:2x 433

161:7x 23

529:23x 23

254:2x 127

985:5x 197

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 18453102207260/(1x46)

LCM = 18453102207260/46

LCM = 401154395810

Thus, we can understand that the LCM of 866,161,529,254,985 is 401154395810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 161, 529, 254, 985

1. What is the LCM of 866, 161, 529, 254, 985?

Answer: LCM of 866, 161, 529, 254, 985 is 401154395810.

2. How to calculate the LCM of 866, 161, 529, 254, 985?

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 866, 161, 529, 254, 985.

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}.