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LCM of 998, 237, 878, 581, 923

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


Find the LCM of 998, 237, 878, 581, 923 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 998, 237, 878, 581, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,237,878,581,923

Given numbers are 998,237,878,581,923

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

The LCM of 998,237,878,581,923 is 55682822486382.

Find LCM of 998,237,878,581,923 with Prime Factorization


2 998, 237, 878, 581, 923
499, 237, 439, 581, 923

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

2 x 499 x 237 x 439 x 581 x 923 = 55682822486382

Therefore, the lowest common multiple of 998,237,878,581,923 is 55682822486382.

LCM Formula to Find Lowest Common Multiple of 998,237,878,581,923

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.

998 x 237 x 878 x 581 x 923 = 111365644972764

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.

998 : 1, 2, 499, 998

237 : 1, 3, 79, 237

878 : 1, 2, 439, 878

581 : 1, 7, 83, 581

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,237,878,581,923, is 1.

Now, the common factors can be found like this.

998:2x 499

237:3x 79

878:2x 439

581:7x 83

923:13x 71

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

2 = 2

Therefore, the value for common factors is 2.

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 = 111365644972764/(1x2)

LCM = 111365644972764/2

LCM = 55682822486382

Thus, we can understand that the LCM of 998,237,878,581,923 is 55682822486382.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 237, 878, 581, 923

1. What is the LCM of 998, 237, 878, 581, 923?

Answer: LCM of 998, 237, 878, 581, 923 is 55682822486382.

2. How to calculate the LCM of 998, 237, 878, 581, 923?

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 998, 237, 878, 581, 923.

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}.