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LCM of 676, 681, 442, 561

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


Find the LCM of 676, 681, 442, 561 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 676, 681, 442, 561. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,681,442,561

Given numbers are 676,681,442,561

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

The LCM of 676,681,442,561 is 86086572.

Find LCM of 676,681,442,561 with Prime Factorization


2 676, 681, 442, 561
3 338, 681, 221, 561
13 338, 227, 221, 187
17 26, 227, 17, 187
26, 227, 1, 11

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

2 x 3 x 13 x 17 x 26 x 227 x 1 x 11 = 86086572

Therefore, the lowest common multiple of 676,681,442,561 is 86086572.

LCM Formula to Find Lowest Common Multiple of 676,681,442,561

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.

676 x 681 x 442 x 561 = 114150794472

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

681 : 1, 3, 227, 681

442 : 1, 2, 13, 17, 26, 34, 221, 442

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,681,442,561, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

681:3x 227

442:2x 13x 17

561:3x 11x 17

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

2x 3x 13x 17 = 1326

Therefore, the value for common factors is 1326.

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 = 114150794472/(1x1326)

LCM = 114150794472/1326

LCM = 86086572

Thus, we can understand that the LCM of 676,681,442,561 is 86086572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 681, 442, 561

1. What is the LCM of 676, 681, 442, 561?

Answer: LCM of 676, 681, 442, 561 is 86086572.

2. How to calculate the LCM of 676, 681, 442, 561?

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 676, 681, 442, 561.

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}.