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LCM of 258, 851, 734, 993

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


Find the LCM of 258, 851, 734, 993 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 258, 851, 734, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,851,734,993

Given numbers are 258,851,734,993

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

The LCM of 258,851,734,993 is 26671247166.

Find LCM of 258,851,734,993 with Prime Factorization


2 258, 851, 734, 993
3 129, 851, 367, 993
43, 851, 367, 331

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

2 x 3 x 43 x 851 x 367 x 331 = 26671247166

Therefore, the lowest common multiple of 258,851,734,993 is 26671247166.

LCM Formula to Find Lowest Common Multiple of 258,851,734,993

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.

258 x 851 x 734 x 993 = 160027482996

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

851 : 1, 23, 37, 851

734 : 1, 2, 367, 734

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,851,734,993, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

851:23x 37

734:2x 367

993:3x 331

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 160027482996/(1x6)

LCM = 160027482996/6

LCM = 26671247166

Thus, we can understand that the LCM of 258,851,734,993 is 26671247166.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 851, 734, 993

1. What is the LCM of 258, 851, 734, 993?

Answer: LCM of 258, 851, 734, 993 is 26671247166.

2. How to calculate the LCM of 258, 851, 734, 993?

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 258, 851, 734, 993.

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}.