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LCM of 655, 681, 208, 261

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


Find the LCM of 655, 681, 208, 261 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 655, 681, 208, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 655,681,208,261

Given numbers are 655,681,208,261

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

The LCM of 655,681,208,261 is 8071811280.

Find LCM of 655,681,208,261 with Prime Factorization


3 655, 681, 208, 261
655, 227, 208, 87

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

3 x 655 x 227 x 208 x 87 = 8071811280

Therefore, the lowest common multiple of 655,681,208,261 is 8071811280.

LCM Formula to Find Lowest Common Multiple of 655,681,208,261

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.

655 x 681 x 208 x 261 = 24215433840

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.

655 : 1, 5, 131, 655

681 : 1, 3, 227, 681

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,681,208,261, is 1.

Now, the common factors can be found like this.

655:5x 131

681:3x 227

208:2x 2x 2x 2x 13

261:3x 3x 29

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

3 = 3

Therefore, the value for common factors is 3.

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 = 24215433840/(1x3)

LCM = 24215433840/3

LCM = 8071811280

Thus, we can understand that the LCM of 655,681,208,261 is 8071811280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 655, 681, 208, 261

1. What is the LCM of 655, 681, 208, 261?

Answer: LCM of 655, 681, 208, 261 is 8071811280.

2. How to calculate the LCM of 655, 681, 208, 261?

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 655, 681, 208, 261.

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}.