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LCM of 927, 949, 949, 457

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


Find the LCM of 927, 949, 949, 457 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 927, 949, 949, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 927,949,949,457

Given numbers are 927,949,949,457

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

The LCM of 927,949,949,457 is 402033411.

Find LCM of 927,949,949,457 with Prime Factorization


13 927, 949, 949, 457
73 927, 73, 73, 457
927, 1, 1, 457

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

13 x 73 x 927 x 1 x 1 x 457 = 402033411

Therefore, the lowest common multiple of 927,949,949,457 is 402033411.

LCM Formula to Find Lowest Common Multiple of 927,949,949,457

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.

927 x 949 x 949 x 457 = 381529707039

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.

927 : 1, 3, 9, 103, 309, 927

949 : 1, 13, 73, 949

949 : 1, 13, 73, 949

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 927,949,949,457, is 1.

Now, the common factors can be found like this.

927:3x 3x 103

949:13x 73

949:13x 73

457:457

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

13x 73 = 949

Therefore, the value for common factors is 949.

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 = 381529707039/(1x949)

LCM = 381529707039/949

LCM = 402033411

Thus, we can understand that the LCM of 927,949,949,457 is 402033411.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 927, 949, 949, 457

1. What is the LCM of 927, 949, 949, 457?

Answer: LCM of 927, 949, 949, 457 is 402033411.

2. How to calculate the LCM of 927, 949, 949, 457?

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 927, 949, 949, 457.

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}.