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LCM of 656, 820, 561, 944, 661

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


Find the LCM of 656, 820, 561, 944, 661 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 656, 820, 561, 944, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 656,820,561,944,661

Given numbers are 656,820,561,944,661

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

The LCM of 656,820,561,944,661 is 71761279920.

Find LCM of 656,820,561,944,661 with Prime Factorization


2 656, 820, 561, 944, 661
2 328, 410, 561, 472, 661
2 164, 205, 561, 236, 661
2 82, 205, 561, 118, 661
41 41, 205, 561, 59, 661
1, 5, 561, 59, 661

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

2 x 2 x 2 x 2 x 41 x 1 x 5 x 561 x 59 x 661 = 71761279920

Therefore, the lowest common multiple of 656,820,561,944,661 is 71761279920.

LCM Formula to Find Lowest Common Multiple of 656,820,561,944,661

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.

656 x 820 x 561 x 944 x 661 = 188301598510080

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.

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 656,820,561,944,661, is 1.

Now, the common factors can be found like this.

656:2x 2x 2x 2x 41

820:2x 2x 5x 41

561:3x 11x 17

944:2x 2x 2x 2x 59

661:661

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

2x 2x 2x 2x 2x 2x 41 = 2624

Therefore, the value for common factors is 2624.

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 = 188301598510080/(1x2624)

LCM = 188301598510080/2624

LCM = 71761279920

Thus, we can understand that the LCM of 656,820,561,944,661 is 71761279920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 656, 820, 561, 944, 661

1. What is the LCM of 656, 820, 561, 944, 661?

Answer: LCM of 656, 820, 561, 944, 661 is 71761279920.

2. How to calculate the LCM of 656, 820, 561, 944, 661?

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 656, 820, 561, 944, 661.

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}.