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LCM of 683, 383, 936, 263, 825

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


Find the LCM of 683, 383, 936, 263, 825 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, 383, 936, 263, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 683,383,936,263,825

Given numbers are 683,383,936,263,825

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

The LCM of 683,383,936,263,825 is 17708581261800.

Find LCM of 683,383,936,263,825 with Prime Factorization


3 683, 383, 936, 263, 825
683, 383, 312, 263, 275

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

3 x 683 x 383 x 312 x 263 x 275 = 17708581261800

Therefore, the lowest common multiple of 683,383,936,263,825 is 17708581261800.

LCM Formula to Find Lowest Common Multiple of 683,383,936,263,825

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 383 x 936 x 263 x 825 = 53125743785400

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

383 : 1, 383

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

263 : 1, 263

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,383,936,263,825, is 1.

Now, the common factors can be found like this.

683:683

383:383

936:2x 2x 2x 3x 3x 13

263:263

825:3x 5x 5x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 53125743785400/(1x3)

LCM = 53125743785400/3

LCM = 17708581261800

Thus, we can understand that the LCM of 683,383,936,263,825 is 17708581261800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 683, 383, 936, 263, 825

1. What is the LCM of 683, 383, 936, 263, 825?

Answer: LCM of 683, 383, 936, 263, 825 is 17708581261800.

2. How to calculate the LCM of 683, 383, 936, 263, 825?

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, 383, 936, 263, 825.

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}.