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LCM of 689, 904, 211, 339

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


Find the LCM of 689, 904, 211, 339 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 689, 904, 211, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,904,211,339

Given numbers are 689,904,211,339

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

The LCM of 689,904,211,339 is 394267848.

Find LCM of 689,904,211,339 with Prime Factorization


113 689, 904, 211, 339
689, 8, 211, 3

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

113 x 689 x 8 x 211 x 3 = 394267848

Therefore, the lowest common multiple of 689,904,211,339 is 394267848.

LCM Formula to Find Lowest Common Multiple of 689,904,211,339

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.

689 x 904 x 211 x 339 = 44552266824

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.

689 : 1, 13, 53, 689

904 : 1, 2, 4, 8, 113, 226, 452, 904

211 : 1, 211

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,904,211,339, is 1.

Now, the common factors can be found like this.

689:13x 53

904:2x 2x 2x 113

211:211

339:3x 113

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

113 = 113

Therefore, the value for common factors is 113.

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 = 44552266824/(1x113)

LCM = 44552266824/113

LCM = 394267848

Thus, we can understand that the LCM of 689,904,211,339 is 394267848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 904, 211, 339

1. What is the LCM of 689, 904, 211, 339?

Answer: LCM of 689, 904, 211, 339 is 394267848.

2. How to calculate the LCM of 689, 904, 211, 339?

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 689, 904, 211, 339.

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}.