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LCM of 925, 518, 407, 467

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


Find the LCM of 925, 518, 407, 467 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, 518, 407, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,518,407,467

Given numbers are 925,518,407,467

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

The LCM of 925,518,407,467 is 66524150.

Find LCM of 925,518,407,467 with Prime Factorization


37 925, 518, 407, 467
25, 14, 11, 467

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

37 x 25 x 14 x 11 x 467 = 66524150

Therefore, the lowest common multiple of 925,518,407,467 is 66524150.

LCM Formula to Find Lowest Common Multiple of 925,518,407,467

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 518 x 407 x 467 = 91071561350

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

407 : 1, 11, 37, 407

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,518,407,467, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

518:2x 7x 37

407:11x 37

467:467

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

37x 37 = 1369

Therefore, the value for common factors is 1369.

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 = 91071561350/(1x1369)

LCM = 91071561350/1369

LCM = 66524150

Thus, we can understand that the LCM of 925,518,407,467 is 66524150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 518, 407, 467

1. What is the LCM of 925, 518, 407, 467?

Answer: LCM of 925, 518, 407, 467 is 66524150.

2. How to calculate the LCM of 925, 518, 407, 467?

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, 518, 407, 467.

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}.