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LCM of 683, 320, 262, 277, 797

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


Find the LCM of 683, 320, 262, 277, 797 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 683, 320, 262, 277, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,320,262,277,797

Given numbers are 683,320,262,277,797

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

The LCM of 683,320,262,277,797 is 6320916715840.

Find LCM of 683,320,262,277,797 with Prime Factorization


2 683, 320, 262, 277, 797
683, 160, 131, 277, 797

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

2 x 683 x 160 x 131 x 277 x 797 = 6320916715840

Therefore, the lowest common multiple of 683,320,262,277,797 is 6320916715840.

LCM Formula to Find Lowest Common Multiple of 683,320,262,277,797

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.

683 x 320 x 262 x 277 x 797 = 12641833431680

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.

683 : 1, 683

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

262 : 1, 2, 131, 262

277 : 1, 277

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,320,262,277,797, is 1.

Now, the common factors can be found like this.

683:683

320:2x 2x 2x 2x 2x 2x 5

262:2x 131

277:277

797:797

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 = 12641833431680/(1x2)

LCM = 12641833431680/2

LCM = 6320916715840

Thus, we can understand that the LCM of 683,320,262,277,797 is 6320916715840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 320, 262, 277, 797

1. What is the LCM of 683, 320, 262, 277, 797?

Answer: LCM of 683, 320, 262, 277, 797 is 6320916715840.

2. How to calculate the LCM of 683, 320, 262, 277, 797?

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 683, 320, 262, 277, 797.

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}.