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LCM of 825, 383, 969, 781

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


Find the LCM of 825, 383, 969, 781 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 825, 383, 969, 781. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,383,969,781

Given numbers are 825,383,969,781

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

The LCM of 825,383,969,781 is 7246254675.

Find LCM of 825,383,969,781 with Prime Factorization


3 825, 383, 969, 781
11 275, 383, 323, 781
25, 383, 323, 71

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

3 x 11 x 25 x 383 x 323 x 71 = 7246254675

Therefore, the lowest common multiple of 825,383,969,781 is 7246254675.

LCM Formula to Find Lowest Common Multiple of 825,383,969,781

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.

825 x 383 x 969 x 781 = 239126404275

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.

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

383 : 1, 383

969 : 1, 3, 17, 19, 51, 57, 323, 969

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,383,969,781, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

383:383

969:3x 17x 19

781:11x 71

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 239126404275/(1x33)

LCM = 239126404275/33

LCM = 7246254675

Thus, we can understand that the LCM of 825,383,969,781 is 7246254675.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 383, 969, 781

1. What is the LCM of 825, 383, 969, 781?

Answer: LCM of 825, 383, 969, 781 is 7246254675.

2. How to calculate the LCM of 825, 383, 969, 781?

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 825, 383, 969, 781.

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}.