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LCM of 273, 194, 448, 686

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


Find the LCM of 273, 194, 448, 686 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, 194, 448, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,194,448,686

Given numbers are 273,194,448,686

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

The LCM of 273,194,448,686 is 83044416.

Find LCM of 273,194,448,686 with Prime Factorization


2 273, 194, 448, 686
7 273, 97, 224, 343
39, 97, 32, 49

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

2 x 7 x 39 x 97 x 32 x 49 = 83044416

Therefore, the lowest common multiple of 273,194,448,686 is 83044416.

LCM Formula to Find Lowest Common Multiple of 273,194,448,686

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 194 x 448 x 686 = 16276705536

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

194 : 1, 2, 97, 194

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,194,448,686, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

194:2x 97

448:2x 2x 2x 2x 2x 2x 7

686:2x 7x 7x 7

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 16276705536/(1x196)

LCM = 16276705536/196

LCM = 83044416

Thus, we can understand that the LCM of 273,194,448,686 is 83044416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 194, 448, 686

1. What is the LCM of 273, 194, 448, 686?

Answer: LCM of 273, 194, 448, 686 is 83044416.

2. How to calculate the LCM of 273, 194, 448, 686?

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, 194, 448, 686.

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}.