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LCM of 998, 696, 772, 970, 941

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


Find the LCM of 998, 696, 772, 970, 941 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, 696, 772, 970, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,696,772,970,941

Given numbers are 998,696,772,970,941

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

The LCM of 998,696,772,970,941 is 30591336855720.

Find LCM of 998,696,772,970,941 with Prime Factorization


2 998, 696, 772, 970, 941
2 499, 348, 386, 485, 941
499, 174, 193, 485, 941

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

2 x 2 x 499 x 174 x 193 x 485 x 941 = 30591336855720

Therefore, the lowest common multiple of 998,696,772,970,941 is 30591336855720.

LCM Formula to Find Lowest Common Multiple of 998,696,772,970,941

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 696 x 772 x 970 x 941 = 489461389691520

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

772 : 1, 2, 4, 193, 386, 772

970 : 1, 2, 5, 10, 97, 194, 485, 970

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,696,772,970,941, is 1.

Now, the common factors can be found like this.

998:2x 499

696:2x 2x 2x 3x 29

772:2x 2x 193

970:2x 5x 97

941:941

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 = 489461389691520/(1x16)

LCM = 489461389691520/16

LCM = 30591336855720

Thus, we can understand that the LCM of 998,696,772,970,941 is 30591336855720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 696, 772, 970, 941

1. What is the LCM of 998, 696, 772, 970, 941?

Answer: LCM of 998, 696, 772, 970, 941 is 30591336855720.

2. How to calculate the LCM of 998, 696, 772, 970, 941?

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, 696, 772, 970, 941.

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}.