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LCM of 997, 698, 949, 305, 372

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


Find the LCM of 997, 698, 949, 305, 372 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 997, 698, 949, 305, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 997,698,949,305,372

Given numbers are 997,698,949,305,372

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

The LCM of 997,698,949,305,372 is 37465331263620.

Find LCM of 997,698,949,305,372 with Prime Factorization


2 997, 698, 949, 305, 372
997, 349, 949, 305, 186

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

2 x 997 x 349 x 949 x 305 x 186 = 37465331263620

Therefore, the lowest common multiple of 997,698,949,305,372 is 37465331263620.

LCM Formula to Find Lowest Common Multiple of 997,698,949,305,372

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.

997 x 698 x 949 x 305 x 372 = 74930662527240

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.

997 : 1, 997

698 : 1, 2, 349, 698

949 : 1, 13, 73, 949

305 : 1, 5, 61, 305

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,698,949,305,372, is 1.

Now, the common factors can be found like this.

997:997

698:2x 349

949:13x 73

305:5x 61

372:2x 2x 3x 31

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 = 74930662527240/(1x2)

LCM = 74930662527240/2

LCM = 37465331263620

Thus, we can understand that the LCM of 997,698,949,305,372 is 37465331263620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 997, 698, 949, 305, 372

1. What is the LCM of 997, 698, 949, 305, 372?

Answer: LCM of 997, 698, 949, 305, 372 is 37465331263620.

2. How to calculate the LCM of 997, 698, 949, 305, 372?

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 997, 698, 949, 305, 372.

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}.