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LCM of 262, 479, 958, 572, 993

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


Find the LCM of 262, 479, 958, 572, 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 262, 479, 958, 572, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 262,479,958,572,993

Given numbers are 262,479,958,572,993

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

The LCM of 262,479,958,572,993 is 35641181004.

Find LCM of 262,479,958,572,993 with Prime Factorization


2 262, 479, 958, 572, 993
479 131, 479, 479, 286, 993
131, 1, 1, 286, 993

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

2 x 479 x 131 x 1 x 1 x 286 x 993 = 35641181004

Therefore, the lowest common multiple of 262,479,958,572,993 is 35641181004.

LCM Formula to Find Lowest Common Multiple of 262,479,958,572,993

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.

262 x 479 x 958 x 572 x 993 = 68288502803664

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.

262 : 1, 2, 131, 262

479 : 1, 479

958 : 1, 2, 479, 958

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,479,958,572,993, is 1.

Now, the common factors can be found like this.

262:2x 131

479:479

958:2x 479

572:2x 2x 11x 13

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 2x 479 = 1916

Therefore, the value for common factors is 1916.

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 = 68288502803664/(1x1916)

LCM = 68288502803664/1916

LCM = 35641181004

Thus, we can understand that the LCM of 262,479,958,572,993 is 35641181004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 262, 479, 958, 572, 993

1. What is the LCM of 262, 479, 958, 572, 993?

Answer: LCM of 262, 479, 958, 572, 993 is 35641181004.

2. How to calculate the LCM of 262, 479, 958, 572, 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 262, 479, 958, 572, 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}.