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LCM of 247, 972, 831, 879, 471

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


Find the LCM of 247, 972, 831, 879, 471 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 247, 972, 831, 879, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,972,831,879,471

Given numbers are 247,972,831,879,471

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

The LCM of 247,972,831,879,471 is 3059216831268.

Find LCM of 247,972,831,879,471 with Prime Factorization


3 247, 972, 831, 879, 471
247, 324, 277, 293, 157

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

3 x 247 x 324 x 277 x 293 x 157 = 3059216831268

Therefore, the lowest common multiple of 247,972,831,879,471 is 3059216831268.

LCM Formula to Find Lowest Common Multiple of 247,972,831,879,471

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.

247 x 972 x 831 x 879 x 471 = 82598854444236

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.

247 : 1, 13, 19, 247

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

831 : 1, 3, 277, 831

879 : 1, 3, 293, 879

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,972,831,879,471, is 1.

Now, the common factors can be found like this.

247:13x 19

972:2x 2x 3x 3x 3x 3x 3

831:3x 277

879:3x 293

471:3x 157

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 82598854444236/(1x27)

LCM = 82598854444236/27

LCM = 3059216831268

Thus, we can understand that the LCM of 247,972,831,879,471 is 3059216831268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 972, 831, 879, 471

1. What is the LCM of 247, 972, 831, 879, 471?

Answer: LCM of 247, 972, 831, 879, 471 is 3059216831268.

2. How to calculate the LCM of 247, 972, 831, 879, 471?

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 247, 972, 831, 879, 471.

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}.