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LCM of 961, 825, 423, 799

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


Find the LCM of 961, 825, 423, 799 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 961, 825, 423, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,825,423,799

Given numbers are 961,825,423,799

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

The LCM of 961,825,423,799 is 1900401525.

Find LCM of 961,825,423,799 with Prime Factorization


3 961, 825, 423, 799
47 961, 275, 141, 799
961, 275, 3, 17

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

3 x 47 x 961 x 275 x 3 x 17 = 1900401525

Therefore, the lowest common multiple of 961,825,423,799 is 1900401525.

LCM Formula to Find Lowest Common Multiple of 961,825,423,799

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.

961 x 825 x 423 x 799 = 267956615025

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.

961 : 1, 31, 961

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

423 : 1, 3, 9, 47, 141, 423

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,825,423,799, is 1.

Now, the common factors can be found like this.

961:31x 31

825:3x 5x 5x 11

423:3x 3x 47

799:17x 47

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

3x 47 = 141

Therefore, the value for common factors is 141.

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 = 267956615025/(1x141)

LCM = 267956615025/141

LCM = 1900401525

Thus, we can understand that the LCM of 961,825,423,799 is 1900401525.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 825, 423, 799

1. What is the LCM of 961, 825, 423, 799?

Answer: LCM of 961, 825, 423, 799 is 1900401525.

2. How to calculate the LCM of 961, 825, 423, 799?

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 961, 825, 423, 799.

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}.