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 169, 493, 836, 740, 309

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


Find the LCM of 169, 493, 836, 740, 309 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 169, 493, 836, 740, 309. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,493,836,740,309

Given numbers are 169,493,836,740,309

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

The LCM of 169,493,836,740,309 is 3981714430980.

Find LCM of 169,493,836,740,309 with Prime Factorization


2 169, 493, 836, 740, 309
2 169, 493, 418, 370, 309
169, 493, 209, 185, 309

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

2 x 2 x 169 x 493 x 209 x 185 x 309 = 3981714430980

Therefore, the lowest common multiple of 169,493,836,740,309 is 3981714430980.

LCM Formula to Find Lowest Common Multiple of 169,493,836,740,309

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.

169 x 493 x 836 x 740 x 309 = 15926857723920

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.

169 : 1, 13, 169

493 : 1, 17, 29, 493

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,493,836,740,309, is 1.

Now, the common factors can be found like this.

169:13x 13

493:17x 29

836:2x 2x 11x 19

740:2x 2x 5x 37

309:3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 15926857723920/(1x4)

LCM = 15926857723920/4

LCM = 3981714430980

Thus, we can understand that the LCM of 169,493,836,740,309 is 3981714430980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 493, 836, 740, 309

1. What is the LCM of 169, 493, 836, 740, 309?

Answer: LCM of 169, 493, 836, 740, 309 is 3981714430980.

2. How to calculate the LCM of 169, 493, 836, 740, 309?

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 169, 493, 836, 740, 309.

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}.