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LCM of 230, 971, 111, 586, 896

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


Find the LCM of 230, 971, 111, 586, 896 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 230, 971, 111, 586, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 230,971,111,586,896

Given numbers are 230,971,111,586,896

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

The LCM of 230,971,111,586,896 is 3253985992320.

Find LCM of 230,971,111,586,896 with Prime Factorization


2 230, 971, 111, 586, 896
115, 971, 111, 293, 448

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

2 x 115 x 971 x 111 x 293 x 448 = 3253985992320

Therefore, the lowest common multiple of 230,971,111,586,896 is 3253985992320.

LCM Formula to Find Lowest Common Multiple of 230,971,111,586,896

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.

230 x 971 x 111 x 586 x 896 = 13015943969280

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

971 : 1, 971

111 : 1, 3, 37, 111

586 : 1, 2, 293, 586

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,971,111,586,896, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

971:971

111:3x 37

586:2x 293

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

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13015943969280/(1x4)

LCM = 13015943969280/4

LCM = 3253985992320

Thus, we can understand that the LCM of 230,971,111,586,896 is 3253985992320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 230, 971, 111, 586, 896

1. What is the LCM of 230, 971, 111, 586, 896?

Answer: LCM of 230, 971, 111, 586, 896 is 3253985992320.

2. How to calculate the LCM of 230, 971, 111, 586, 896?

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 230, 971, 111, 586, 896.

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}.