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LCM of 881, 144, 482, 568, 721

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


Find the LCM of 881, 144, 482, 568, 721 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 881, 144, 482, 568, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 881,144,482,568,721

Given numbers are 881,144,482,568,721

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

The LCM of 881,144,482,568,721 is 1565125100784.

Find LCM of 881,144,482,568,721 with Prime Factorization


2 881, 144, 482, 568, 721
2 881, 72, 241, 284, 721
2 881, 36, 241, 142, 721
881, 18, 241, 71, 721

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

2 x 2 x 2 x 881 x 18 x 241 x 71 x 721 = 1565125100784

Therefore, the lowest common multiple of 881,144,482,568,721 is 1565125100784.

LCM Formula to Find Lowest Common Multiple of 881,144,482,568,721

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.

881 x 144 x 482 x 568 x 721 = 25042001612544

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.

881 : 1, 881

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

482 : 1, 2, 241, 482

568 : 1, 2, 4, 8, 71, 142, 284, 568

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,144,482,568,721, is 1.

Now, the common factors can be found like this.

881:881

144:2x 2x 2x 2x 3x 3

482:2x 241

568:2x 2x 2x 71

721:7x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 25042001612544/(1x16)

LCM = 25042001612544/16

LCM = 1565125100784

Thus, we can understand that the LCM of 881,144,482,568,721 is 1565125100784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 881, 144, 482, 568, 721

1. What is the LCM of 881, 144, 482, 568, 721?

Answer: LCM of 881, 144, 482, 568, 721 is 1565125100784.

2. How to calculate the LCM of 881, 144, 482, 568, 721?

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 881, 144, 482, 568, 721.

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}.