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LCM of 407, 481, 807, 925

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


Find the LCM of 407, 481, 807, 925 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 407, 481, 807, 925. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,481,807,925

Given numbers are 407,481,807,925

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

The LCM of 407,481,807,925 is 106745925.

Find LCM of 407,481,807,925 with Prime Factorization


37 407, 481, 807, 925
11, 13, 807, 25

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

37 x 11 x 13 x 807 x 25 = 106745925

Therefore, the lowest common multiple of 407,481,807,925 is 106745925.

LCM Formula to Find Lowest Common Multiple of 407,481,807,925

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.

407 x 481 x 807 x 925 = 146135171325

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.

407 : 1, 11, 37, 407

481 : 1, 13, 37, 481

807 : 1, 3, 269, 807

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,481,807,925, is 1.

Now, the common factors can be found like this.

407:11x 37

481:13x 37

807:3x 269

925:5x 5x 37

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 = 146135171325/(1x1369)

LCM = 146135171325/1369

LCM = 106745925

Thus, we can understand that the LCM of 407,481,807,925 is 106745925.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 481, 807, 925

1. What is the LCM of 407, 481, 807, 925?

Answer: LCM of 407, 481, 807, 925 is 106745925.

2. How to calculate the LCM of 407, 481, 807, 925?

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 407, 481, 807, 925.

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}.