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LCM of 31, 31, 15, 160

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


Find the LCM of 31, 31, 15, 160 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, 31, 15, 160. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 31,31,15,160

Given numbers are 31,31,15,160

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

The LCM of 31,31,15,160 is 14880.

Find LCM of 31,31,15,160 with Prime Factorization


5 31, 31, 15, 160
31 31, 31, 3, 32
1, 1, 3, 32

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

5 x 31 x 1 x 1 x 3 x 32 = 14880

Therefore, the lowest common multiple of 31,31,15,160 is 14880.

LCM Formula to Find Lowest Common Multiple of 31,31,15,160

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 31 x 15 x 160 = 2306400

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

31 : 1, 31

15 : 1, 3, 5, 15

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 31,31,15,160, is 1.

Now, the common factors can be found like this.

31:31

31:31

15:3x 5

160:2x 2x 2x 2x 2x 5

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

5x 31 = 155

Therefore, the value for common factors is 155.

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 = 2306400/(1x155)

LCM = 2306400/155

LCM = 14880

Thus, we can understand that the LCM of 31,31,15,160 is 14880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 31, 31, 15, 160

1. What is the LCM of 31, 31, 15, 160?

Answer: LCM of 31, 31, 15, 160 is 14880.

2. How to calculate the LCM of 31, 31, 15, 160?

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, 31, 15, 160.

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}.