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LCM of 346, 667, 988, 289

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


Find the LCM of 346, 667, 988, 289 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 346, 667, 988, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 346,667,988,289

Given numbers are 346,667,988,289

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

The LCM of 346,667,988,289 is 32947823012.

Find LCM of 346,667,988,289 with Prime Factorization


2 346, 667, 988, 289
173, 667, 494, 289

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

2 x 173 x 667 x 494 x 289 = 32947823012

Therefore, the lowest common multiple of 346,667,988,289 is 32947823012.

LCM Formula to Find Lowest Common Multiple of 346,667,988,289

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.

346 x 667 x 988 x 289 = 65895646024

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.

346 : 1, 2, 173, 346

667 : 1, 23, 29, 667

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,667,988,289, is 1.

Now, the common factors can be found like this.

346:2x 173

667:23x 29

988:2x 2x 13x 19

289:17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 65895646024/(1x2)

LCM = 65895646024/2

LCM = 32947823012

Thus, we can understand that the LCM of 346,667,988,289 is 32947823012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 346, 667, 988, 289

1. What is the LCM of 346, 667, 988, 289?

Answer: LCM of 346, 667, 988, 289 is 32947823012.

2. How to calculate the LCM of 346, 667, 988, 289?

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 346, 667, 988, 289.

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}.