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LCM of 916, 818, 131, 581

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


Find the LCM of 916, 818, 131, 581 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 916, 818, 131, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,818,131,581

Given numbers are 916,818,131,581

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

The LCM of 916,818,131,581 is 28514529484.

Find LCM of 916,818,131,581 with Prime Factorization


2 916, 818, 131, 581
458, 409, 131, 581

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

2 x 458 x 409 x 131 x 581 = 28514529484

Therefore, the lowest common multiple of 916,818,131,581 is 28514529484.

LCM Formula to Find Lowest Common Multiple of 916,818,131,581

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.

916 x 818 x 131 x 581 = 57029058968

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.

916 : 1, 2, 4, 229, 458, 916

818 : 1, 2, 409, 818

131 : 1, 131

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,818,131,581, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

818:2x 409

131:131

581:7x 83

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

2 = 2

Therefore, the value for common factors is 2.

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 = 57029058968/(1x2)

LCM = 57029058968/2

LCM = 28514529484

Thus, we can understand that the LCM of 916,818,131,581 is 28514529484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 818, 131, 581

1. What is the LCM of 916, 818, 131, 581?

Answer: LCM of 916, 818, 131, 581 is 28514529484.

2. How to calculate the LCM of 916, 818, 131, 581?

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 916, 818, 131, 581.

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}.