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LCM of 791, 668, 842, 542, 984

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


Find the LCM of 791, 668, 842, 542, 984 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 791, 668, 842, 542, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,668,842,542,984

Given numbers are 791,668,842,542,984

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

The LCM of 791,668,842,542,984 is 14829941565768.

Find LCM of 791,668,842,542,984 with Prime Factorization


2 791, 668, 842, 542, 984
2 791, 334, 421, 271, 492
791, 167, 421, 271, 246

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

2 x 2 x 791 x 167 x 421 x 271 x 246 = 14829941565768

Therefore, the lowest common multiple of 791,668,842,542,984 is 14829941565768.

LCM Formula to Find Lowest Common Multiple of 791,668,842,542,984

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.

791 x 668 x 842 x 542 x 984 = 237279065052288

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.

791 : 1, 7, 113, 791

668 : 1, 2, 4, 167, 334, 668

842 : 1, 2, 421, 842

542 : 1, 2, 271, 542

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,668,842,542,984, is 1.

Now, the common factors can be found like this.

791:7x 113

668:2x 2x 167

842:2x 421

542:2x 271

984:2x 2x 2x 3x 41

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 237279065052288/(1x16)

LCM = 237279065052288/16

LCM = 14829941565768

Thus, we can understand that the LCM of 791,668,842,542,984 is 14829941565768.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 668, 842, 542, 984

1. What is the LCM of 791, 668, 842, 542, 984?

Answer: LCM of 791, 668, 842, 542, 984 is 14829941565768.

2. How to calculate the LCM of 791, 668, 842, 542, 984?

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 791, 668, 842, 542, 984.

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}.