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LCM of 608, 627, 665, 597

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


Find the LCM of 608, 627, 665, 597 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 608, 627, 665, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,627,665,597

Given numbers are 608,627,665,597

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

The LCM of 608,627,665,597 is 139745760.

Find LCM of 608,627,665,597 with Prime Factorization


3 608, 627, 665, 597
19 608, 209, 665, 199
32, 11, 35, 199

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

3 x 19 x 32 x 11 x 35 x 199 = 139745760

Therefore, the lowest common multiple of 608,627,665,597 is 139745760.

LCM Formula to Find Lowest Common Multiple of 608,627,665,597

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.

608 x 627 x 665 x 597 = 151344658080

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

627 : 1, 3, 11, 19, 33, 57, 209, 627

665 : 1, 5, 7, 19, 35, 95, 133, 665

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,627,665,597, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

627:3x 11x 19

665:5x 7x 19

597:3x 199

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

3x 19x 19 = 1083

Therefore, the value for common factors is 1083.

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 = 151344658080/(1x1083)

LCM = 151344658080/1083

LCM = 139745760

Thus, we can understand that the LCM of 608,627,665,597 is 139745760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 627, 665, 597

1. What is the LCM of 608, 627, 665, 597?

Answer: LCM of 608, 627, 665, 597 is 139745760.

2. How to calculate the LCM of 608, 627, 665, 597?

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 608, 627, 665, 597.

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}.