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LCM of 289, 185, 442, 214

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


Find the LCM of 289, 185, 442, 214 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 289, 185, 442, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,185,442,214

Given numbers are 289,185,442,214

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

The LCM of 289,185,442,214 is 148739630.

Find LCM of 289,185,442,214 with Prime Factorization


2 289, 185, 442, 214
17 289, 185, 221, 107
17, 185, 13, 107

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

2 x 17 x 17 x 185 x 13 x 107 = 148739630

Therefore, the lowest common multiple of 289,185,442,214 is 148739630.

LCM Formula to Find Lowest Common Multiple of 289,185,442,214

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.

289 x 185 x 442 x 214 = 5057147420

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.

289 : 1, 17, 289

185 : 1, 5, 37, 185

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,185,442,214, is 1.

Now, the common factors can be found like this.

289:17x 17

185:5x 37

442:2x 13x 17

214:2x 107

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 5057147420/(1x34)

LCM = 5057147420/34

LCM = 148739630

Thus, we can understand that the LCM of 289,185,442,214 is 148739630.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 185, 442, 214

1. What is the LCM of 289, 185, 442, 214?

Answer: LCM of 289, 185, 442, 214 is 148739630.

2. How to calculate the LCM of 289, 185, 442, 214?

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 289, 185, 442, 214.

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}.