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 493, 836, 884, 824

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


Find the LCM of 493, 836, 884, 824 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 493, 836, 884, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,836,884,824

Given numbers are 493,836,884,824

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

The LCM of 493,836,884,824 is 1103732344.

Find LCM of 493,836,884,824 with Prime Factorization


2 493, 836, 884, 824
2 493, 418, 442, 412
17 493, 209, 221, 206
29, 209, 13, 206

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

2 x 2 x 17 x 29 x 209 x 13 x 206 = 1103732344

Therefore, the lowest common multiple of 493,836,884,824 is 1103732344.

LCM Formula to Find Lowest Common Multiple of 493,836,884,824

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.

493 x 836 x 884 x 824 = 300215197568

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.

493 : 1, 17, 29, 493

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,836,884,824, is 1.

Now, the common factors can be found like this.

493:17x 29

836:2x 2x 11x 19

884:2x 2x 13x 17

824:2x 2x 2x 103

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 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 300215197568/(1x272)

LCM = 300215197568/272

LCM = 1103732344

Thus, we can understand that the LCM of 493,836,884,824 is 1103732344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 836, 884, 824

1. What is the LCM of 493, 836, 884, 824?

Answer: LCM of 493, 836, 884, 824 is 1103732344.

2. How to calculate the LCM of 493, 836, 884, 824?

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 493, 836, 884, 824.

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}.