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LCM of 896, 290, 491, 887, 887

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


Find the LCM of 896, 290, 491, 887, 887 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 896, 290, 491, 887, 887. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,290,491,887,887

Given numbers are 896,290,491,887,887

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

The LCM of 896,290,491,887,887 is 56582368640.

Find LCM of 896,290,491,887,887 with Prime Factorization


2 896, 290, 491, 887, 887
887 448, 145, 491, 887, 887
448, 145, 491, 1, 1

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

2 x 887 x 448 x 145 x 491 x 1 x 1 = 56582368640

Therefore, the lowest common multiple of 896,290,491,887,887 is 56582368640.

LCM Formula to Find Lowest Common Multiple of 896,290,491,887,887

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.

896 x 290 x 491 x 887 x 887 = 100377121967360

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

290 : 1, 2, 5, 10, 29, 58, 145, 290

491 : 1, 491

887 : 1, 887

887 : 1, 887

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,290,491,887,887, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

290:2x 5x 29

491:491

887:887

887:887

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

2x 887 = 1774

Therefore, the value for common factors is 1774.

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 = 100377121967360/(1x1774)

LCM = 100377121967360/1774

LCM = 56582368640

Thus, we can understand that the LCM of 896,290,491,887,887 is 56582368640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 290, 491, 887, 887

1. What is the LCM of 896, 290, 491, 887, 887?

Answer: LCM of 896, 290, 491, 887, 887 is 56582368640.

2. How to calculate the LCM of 896, 290, 491, 887, 887?

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 896, 290, 491, 887, 887.

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}.