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LCM of 247, 555, 377, 608

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


Find the LCM of 247, 555, 377, 608 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 247, 555, 377, 608. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,555,377,608

Given numbers are 247,555,377,608

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

The LCM of 247,555,377,608 is 127214880.

Find LCM of 247,555,377,608 with Prime Factorization


13 247, 555, 377, 608
19 19, 555, 29, 608
1, 555, 29, 32

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

13 x 19 x 1 x 555 x 29 x 32 = 127214880

Therefore, the lowest common multiple of 247,555,377,608 is 127214880.

LCM Formula to Find Lowest Common Multiple of 247,555,377,608

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.

247 x 555 x 377 x 608 = 31422075360

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.

247 : 1, 13, 19, 247

555 : 1, 3, 5, 15, 37, 111, 185, 555

377 : 1, 13, 29, 377

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,555,377,608, is 1.

Now, the common factors can be found like this.

247:13x 19

555:3x 5x 37

377:13x 29

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

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

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 31422075360/(1x247)

LCM = 31422075360/247

LCM = 127214880

Thus, we can understand that the LCM of 247,555,377,608 is 127214880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 555, 377, 608

1. What is the LCM of 247, 555, 377, 608?

Answer: LCM of 247, 555, 377, 608 is 127214880.

2. How to calculate the LCM of 247, 555, 377, 608?

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 247, 555, 377, 608.

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}.