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LCM of 843, 116, 811, 918

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


Find the LCM of 843, 116, 811, 918 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 843, 116, 811, 918. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 843,116,811,918

Given numbers are 843,116,811,918

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

The LCM of 843,116,811,918 is 12133828404.

Find LCM of 843,116,811,918 with Prime Factorization


2 843, 116, 811, 918
3 843, 58, 811, 459
281, 58, 811, 153

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

2 x 3 x 281 x 58 x 811 x 153 = 12133828404

Therefore, the lowest common multiple of 843,116,811,918 is 12133828404.

LCM Formula to Find Lowest Common Multiple of 843,116,811,918

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.

843 x 116 x 811 x 918 = 72802970424

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.

843 : 1, 3, 281, 843

116 : 1, 2, 4, 29, 58, 116

811 : 1, 811

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,116,811,918, is 1.

Now, the common factors can be found like this.

843:3x 281

116:2x 2x 29

811:811

918:2x 3x 3x 3x 17

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 = 72802970424/(1x6)

LCM = 72802970424/6

LCM = 12133828404

Thus, we can understand that the LCM of 843,116,811,918 is 12133828404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 843, 116, 811, 918

1. What is the LCM of 843, 116, 811, 918?

Answer: LCM of 843, 116, 811, 918 is 12133828404.

2. How to calculate the LCM of 843, 116, 811, 918?

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 843, 116, 811, 918.

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}.