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LCM of 72, 26, 25, 997

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


Find the LCM of 72, 26, 25, 997 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 72, 26, 25, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 72,26,25,997

Given numbers are 72,26,25,997

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

The LCM of 72,26,25,997 is 23329800.

Find LCM of 72,26,25,997 with Prime Factorization


2 72, 26, 25, 997
36, 13, 25, 997

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

2 x 36 x 13 x 25 x 997 = 23329800

Therefore, the lowest common multiple of 72,26,25,997 is 23329800.

LCM Formula to Find Lowest Common Multiple of 72,26,25,997

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.

72 x 26 x 25 x 997 = 46659600

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.

72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

26 : 1, 2, 13, 26

25 : 1, 5, 25

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 72,26,25,997, is 1.

Now, the common factors can be found like this.

72:2x 2x 2x 3x 3

26:2x 13

25:5x 5

997:997

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46659600/(1x2)

LCM = 46659600/2

LCM = 23329800

Thus, we can understand that the LCM of 72,26,25,997 is 23329800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 72, 26, 25, 997

1. What is the LCM of 72, 26, 25, 997?

Answer: LCM of 72, 26, 25, 997 is 23329800.

2. How to calculate the LCM of 72, 26, 25, 997?

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 72, 26, 25, 997.

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}.