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LCM of 224, 493, 238, 170

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


Find the LCM of 224, 493, 238, 170 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 224, 493, 238, 170. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,493,238,170

Given numbers are 224,493,238,170

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

The LCM of 224,493,238,170 is 552160.

Find LCM of 224,493,238,170 with Prime Factorization


2 224, 493, 238, 170
7 112, 493, 119, 85
17 16, 493, 17, 85
16, 29, 1, 5

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

2 x 7 x 17 x 16 x 29 x 1 x 5 = 552160

Therefore, the lowest common multiple of 224,493,238,170 is 552160.

LCM Formula to Find Lowest Common Multiple of 224,493,238,170

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.

224 x 493 x 238 x 170 = 4468078720

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.

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

493 : 1, 17, 29, 493

238 : 1, 2, 7, 14, 17, 34, 119, 238

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,493,238,170, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

493:17x 29

238:2x 7x 17

170:2x 5x 17

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 17x 17 = 8092

Therefore, the value for common factors is 8092.

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 = 4468078720/(1x8092)

LCM = 4468078720/8092

LCM = 552160

Thus, we can understand that the LCM of 224,493,238,170 is 552160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 493, 238, 170

1. What is the LCM of 224, 493, 238, 170?

Answer: LCM of 224, 493, 238, 170 is 552160.

2. How to calculate the LCM of 224, 493, 238, 170?

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 224, 493, 238, 170.

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}.