LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 713, 822, 174, 867, 493

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


Find the LCM of 713, 822, 174, 867, 493 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 713, 822, 174, 867, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,822,174,867,493

Given numbers are 713,822,174,867,493

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

The LCM of 713,822,174,867,493 is 4911986766.

Find LCM of 713,822,174,867,493 with Prime Factorization


2 713, 822, 174, 867, 493
3 713, 411, 87, 867, 493
17 713, 137, 29, 289, 493
29 713, 137, 29, 17, 29
713, 137, 1, 17, 1

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

2 x 3 x 17 x 29 x 713 x 137 x 1 x 17 x 1 = 4911986766

Therefore, the lowest common multiple of 713,822,174,867,493 is 4911986766.

LCM Formula to Find Lowest Common Multiple of 713,822,174,867,493

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.

713 x 822 x 174 x 867 x 493 = 43588970561484

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.

713 : 1, 23, 31, 713

822 : 1, 2, 3, 6, 137, 274, 411, 822

174 : 1, 2, 3, 6, 29, 58, 87, 174

867 : 1, 3, 17, 51, 289, 867

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,822,174,867,493, is 1.

Now, the common factors can be found like this.

713:23x 31

822:2x 3x 137

174:2x 3x 29

867:3x 17x 17

493:17x 29

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

2x 3x 3x 17x 29 = 8874

Therefore, the value for common factors is 8874.

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 = 43588970561484/(1x8874)

LCM = 43588970561484/8874

LCM = 4911986766

Thus, we can understand that the LCM of 713,822,174,867,493 is 4911986766.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 822, 174, 867, 493

1. What is the LCM of 713, 822, 174, 867, 493?

Answer: LCM of 713, 822, 174, 867, 493 is 4911986766.

2. How to calculate the LCM of 713, 822, 174, 867, 493?

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 713, 822, 174, 867, 493.

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}.