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LCM of 844, 671, 148, 589

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


Find the LCM of 844, 671, 148, 589 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 844, 671, 148, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,671,148,589

Given numbers are 844,671,148,589

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

The LCM of 844,671,148,589 is 12341898932.

Find LCM of 844,671,148,589 with Prime Factorization


2 844, 671, 148, 589
2 422, 671, 74, 589
211, 671, 37, 589

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

2 x 2 x 211 x 671 x 37 x 589 = 12341898932

Therefore, the lowest common multiple of 844,671,148,589 is 12341898932.

LCM Formula to Find Lowest Common Multiple of 844,671,148,589

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.

844 x 671 x 148 x 589 = 49367595728

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.

844 : 1, 2, 4, 211, 422, 844

671 : 1, 11, 61, 671

148 : 1, 2, 4, 37, 74, 148

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,671,148,589, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

671:11x 61

148:2x 2x 37

589:19x 31

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 = 49367595728/(1x4)

LCM = 49367595728/4

LCM = 12341898932

Thus, we can understand that the LCM of 844,671,148,589 is 12341898932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 671, 148, 589

1. What is the LCM of 844, 671, 148, 589?

Answer: LCM of 844, 671, 148, 589 is 12341898932.

2. How to calculate the LCM of 844, 671, 148, 589?

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 844, 671, 148, 589.

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}.