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LCM of 866, 483, 986, 824, 121

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


Find the LCM of 866, 483, 986, 824, 121 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, 483, 986, 824, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 866,483,986,824,121

Given numbers are 866,483,986,824,121

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

The LCM of 866,483,986,824,121 is 10280033464008.

Find LCM of 866,483,986,824,121 with Prime Factorization


2 866, 483, 986, 824, 121
433, 483, 493, 412, 121

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

2 x 433 x 483 x 493 x 412 x 121 = 10280033464008

Therefore, the lowest common multiple of 866,483,986,824,121 is 10280033464008.

LCM Formula to Find Lowest Common Multiple of 866,483,986,824,121

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 483 x 986 x 824 x 121 = 41120133856032

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

483 : 1, 3, 7, 21, 23, 69, 161, 483

986 : 1, 2, 17, 29, 34, 58, 493, 986

824 : 1, 2, 4, 8, 103, 206, 412, 824

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,483,986,824,121, is 1.

Now, the common factors can be found like this.

866:2x 433

483:3x 7x 23

986:2x 17x 29

824:2x 2x 2x 103

121:11x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 41120133856032/(1x4)

LCM = 41120133856032/4

LCM = 10280033464008

Thus, we can understand that the LCM of 866,483,986,824,121 is 10280033464008.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 866, 483, 986, 824, 121

1. What is the LCM of 866, 483, 986, 824, 121?

Answer: LCM of 866, 483, 986, 824, 121 is 10280033464008.

2. How to calculate the LCM of 866, 483, 986, 824, 121?

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, 483, 986, 824, 121.

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}.