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LCM of 31, 949, 403

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


Find the LCM of 31, 949, 403 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 31, 949, 403. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 31,949,403

Given numbers are 31,949,403

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

The LCM of 31,949,403 is 29419.

Find LCM of 31,949,403 with Prime Factorization


13 31, 949, 403
31 31, 73, 31
1, 73, 1

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

13 x 31 x 1 x 73 x 1 = 29419

Therefore, the lowest common multiple of 31,949,403 is 29419.

LCM Formula to Find Lowest Common Multiple of 31,949,403

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.

31 x 949 x 403 = 11855857

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.

31 : 1, 31

949 : 1, 13, 73, 949

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 31,949,403, is 1.

Now, the common factors can be found like this.

31:31

949:13x 73

403:13x 31

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

13x 31 = 403

Therefore, the value for common factors is 403.

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 = 11855857/(1x403)

LCM = 11855857/403

LCM = 29419

Thus, we can understand that the LCM of 31,949,403 is 29419.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 31, 949, 403

1. What is the LCM of 31, 949, 403?

Answer: LCM of 31, 949, 403 is 29419.

2. How to calculate the LCM of 31, 949, 403?

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 31, 949, 403.

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}.