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LCM of 925, 274, 407, 814, 462

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


Find the LCM of 925, 274, 407, 814, 462 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, 274, 407, 814, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,274,407,814,462

Given numbers are 925,274,407,814,462

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

The LCM of 925,274,407,814,462 is 58546950.

Find LCM of 925,274,407,814,462 with Prime Factorization


2 925, 274, 407, 814, 462
11 925, 137, 407, 407, 231
37 925, 137, 37, 37, 21
25, 137, 1, 1, 21

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

2 x 11 x 37 x 25 x 137 x 1 x 1 x 21 = 58546950

Therefore, the lowest common multiple of 925,274,407,814,462 is 58546950.

LCM Formula to Find Lowest Common Multiple of 925,274,407,814,462

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 274 x 407 x 814 x 462 = 38792974882200

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

274 : 1, 2, 137, 274

407 : 1, 11, 37, 407

814 : 1, 2, 11, 22, 37, 74, 407, 814

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,274,407,814,462, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

274:2x 137

407:11x 37

814:2x 11x 37

462:2x 3x 7x 11

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

2x 2x 11x 11x 37x 37 = 662596

Therefore, the value for common factors is 662596.

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 = 38792974882200/(1x662596)

LCM = 38792974882200/662596

LCM = 58546950

Thus, we can understand that the LCM of 925,274,407,814,462 is 58546950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 274, 407, 814, 462

1. What is the LCM of 925, 274, 407, 814, 462?

Answer: LCM of 925, 274, 407, 814, 462 is 58546950.

2. How to calculate the LCM of 925, 274, 407, 814, 462?

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, 274, 407, 814, 462.

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}.