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LCM of 681, 296, 626, 244, 857

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


Find the LCM of 681, 296, 626, 244, 857 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 681, 296, 626, 244, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,296,626,244,857

Given numbers are 681,296,626,244,857

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

The LCM of 681,296,626,244,857 is 3298327816776.

Find LCM of 681,296,626,244,857 with Prime Factorization


2 681, 296, 626, 244, 857
2 681, 148, 313, 122, 857
681, 74, 313, 61, 857

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

2 x 2 x 681 x 74 x 313 x 61 x 857 = 3298327816776

Therefore, the lowest common multiple of 681,296,626,244,857 is 3298327816776.

LCM Formula to Find Lowest Common Multiple of 681,296,626,244,857

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.

681 x 296 x 626 x 244 x 857 = 26386622534208

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.

681 : 1, 3, 227, 681

296 : 1, 2, 4, 8, 37, 74, 148, 296

626 : 1, 2, 313, 626

244 : 1, 2, 4, 61, 122, 244

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,296,626,244,857, is 1.

Now, the common factors can be found like this.

681:3x 227

296:2x 2x 2x 37

626:2x 313

244:2x 2x 61

857:857

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 2 = 8

Therefore, the value for common factors is 8.

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 = 26386622534208/(1x8)

LCM = 26386622534208/8

LCM = 3298327816776

Thus, we can understand that the LCM of 681,296,626,244,857 is 3298327816776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 296, 626, 244, 857

1. What is the LCM of 681, 296, 626, 244, 857?

Answer: LCM of 681, 296, 626, 244, 857 is 3298327816776.

2. How to calculate the LCM of 681, 296, 626, 244, 857?

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 681, 296, 626, 244, 857.

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}.