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LCM of 925, 538, 767, 442

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


Find the LCM of 925, 538, 767, 442 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 925, 538, 767, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,538,767,442

Given numbers are 925,538,767,442

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

The LCM of 925,538,767,442 is 6488858350.

Find LCM of 925,538,767,442 with Prime Factorization


2 925, 538, 767, 442
13 925, 269, 767, 221
925, 269, 59, 17

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

2 x 13 x 925 x 269 x 59 x 17 = 6488858350

Therefore, the lowest common multiple of 925,538,767,442 is 6488858350.

LCM Formula to Find Lowest Common Multiple of 925,538,767,442

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.

925 x 538 x 767 x 442 = 168710317100

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.

925 : 1, 5, 25, 37, 185, 925

538 : 1, 2, 269, 538

767 : 1, 13, 59, 767

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,538,767,442, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

538:2x 269

767:13x 59

442:2x 13x 17

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 168710317100/(1x26)

LCM = 168710317100/26

LCM = 6488858350

Thus, we can understand that the LCM of 925,538,767,442 is 6488858350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 538, 767, 442

1. What is the LCM of 925, 538, 767, 442?

Answer: LCM of 925, 538, 767, 442 is 6488858350.

2. How to calculate the LCM of 925, 538, 767, 442?

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 925, 538, 767, 442.

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}.