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LCM of 289, 446, 167, 739, 696

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


Find the LCM of 289, 446, 167, 739, 696 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, 446, 167, 739, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 289,446,167,739,696

Given numbers are 289,446,167,739,696

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

The LCM of 289,446,167,739,696 is 5535703937256.

Find LCM of 289,446,167,739,696 with Prime Factorization


2 289, 446, 167, 739, 696
289, 223, 167, 739, 348

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

2 x 289 x 223 x 167 x 739 x 348 = 5535703937256

Therefore, the lowest common multiple of 289,446,167,739,696 is 5535703937256.

LCM Formula to Find Lowest Common Multiple of 289,446,167,739,696

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 446 x 167 x 739 x 696 = 11071407874512

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

446 : 1, 2, 223, 446

167 : 1, 167

739 : 1, 739

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,446,167,739,696, is 1.

Now, the common factors can be found like this.

289:17x 17

446:2x 223

167:167

739:739

696:2x 2x 2x 3x 29

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 = 11071407874512/(1x2)

LCM = 11071407874512/2

LCM = 5535703937256

Thus, we can understand that the LCM of 289,446,167,739,696 is 5535703937256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 289, 446, 167, 739, 696

1. What is the LCM of 289, 446, 167, 739, 696?

Answer: LCM of 289, 446, 167, 739, 696 is 5535703937256.

2. How to calculate the LCM of 289, 446, 167, 739, 696?

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, 446, 167, 739, 696.

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}.