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LCM of 896, 218, 596, 981

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


Find the LCM of 896, 218, 596, 981 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, 218, 596, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,218,596,981

Given numbers are 896,218,596,981

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

The LCM of 896,218,596,981 is 130967424.

Find LCM of 896,218,596,981 with Prime Factorization


2 896, 218, 596, 981
2 448, 109, 298, 981
109 224, 109, 149, 981
224, 1, 149, 9

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

2 x 2 x 109 x 224 x 1 x 149 x 9 = 130967424

Therefore, the lowest common multiple of 896,218,596,981 is 130967424.

LCM Formula to Find Lowest Common Multiple of 896,218,596,981

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 218 x 596 x 981 = 114203593728

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

218 : 1, 2, 109, 218

596 : 1, 2, 4, 149, 298, 596

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,218,596,981, is 1.

Now, the common factors can be found like this.

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

218:2x 109

596:2x 2x 149

981:3x 3x 109

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 109 = 872

Therefore, the value for common factors is 872.

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 = 114203593728/(1x872)

LCM = 114203593728/872

LCM = 130967424

Thus, we can understand that the LCM of 896,218,596,981 is 130967424.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 218, 596, 981

1. What is the LCM of 896, 218, 596, 981?

Answer: LCM of 896, 218, 596, 981 is 130967424.

2. How to calculate the LCM of 896, 218, 596, 981?

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, 218, 596, 981.

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}.