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LCM of 273, 442, 689, 493

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


Find the LCM of 273, 442, 689, 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 273, 442, 689, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,442,689,493

Given numbers are 273,442,689,493

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

The LCM of 273,442,689,493 is 14266434.

Find LCM of 273,442,689,493 with Prime Factorization


13 273, 442, 689, 493
17 21, 34, 53, 493
21, 2, 53, 29

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

13 x 17 x 21 x 2 x 53 x 29 = 14266434

Therefore, the lowest common multiple of 273,442,689,493 is 14266434.

LCM Formula to Find Lowest Common Multiple of 273,442,689,493

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.

273 x 442 x 689 x 493 = 40987464882

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

442 : 1, 2, 13, 17, 26, 34, 221, 442

689 : 1, 13, 53, 689

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,442,689,493, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

442:2x 13x 17

689:13x 53

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.

13x 13x 17 = 2873

Therefore, the value for common factors is 2873.

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 = 40987464882/(1x2873)

LCM = 40987464882/2873

LCM = 14266434

Thus, we can understand that the LCM of 273,442,689,493 is 14266434.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 442, 689, 493

1. What is the LCM of 273, 442, 689, 493?

Answer: LCM of 273, 442, 689, 493 is 14266434.

2. How to calculate the LCM of 273, 442, 689, 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 273, 442, 689, 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}.