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LCM of 988, 590, 285, 471

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


Find the LCM of 988, 590, 285, 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 988, 590, 285, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,590,285,471

Given numbers are 988,590,285,471

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

The LCM of 988,590,285,471 is 137277660.

Find LCM of 988,590,285,471 with Prime Factorization


2 988, 590, 285, 471
3 494, 295, 285, 471
5 494, 295, 95, 157
19 494, 59, 19, 157
26, 59, 1, 157

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

2 x 3 x 5 x 19 x 26 x 59 x 1 x 157 = 137277660

Therefore, the lowest common multiple of 988,590,285,471 is 137277660.

LCM Formula to Find Lowest Common Multiple of 988,590,285,471

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.

988 x 590 x 285 x 471 = 78248266200

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

590 : 1, 2, 5, 10, 59, 118, 295, 590

285 : 1, 3, 5, 15, 19, 57, 95, 285

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,590,285,471, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

590:2x 5x 59

285:3x 5x 19

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.

2x 3x 5x 19 = 570

Therefore, the value for common factors is 570.

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 = 78248266200/(1x570)

LCM = 78248266200/570

LCM = 137277660

Thus, we can understand that the LCM of 988,590,285,471 is 137277660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 590, 285, 471

1. What is the LCM of 988, 590, 285, 471?

Answer: LCM of 988, 590, 285, 471 is 137277660.

2. How to calculate the LCM of 988, 590, 285, 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 988, 590, 285, 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}.