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LCM of 488, 241, 366, 471

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


Find the LCM of 488, 241, 366, 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 488, 241, 366, 471. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,241,366,471

Given numbers are 488,241,366,471

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

The LCM of 488,241,366,471 is 55393368.

Find LCM of 488,241,366,471 with Prime Factorization


2 488, 241, 366, 471
3 244, 241, 183, 471
61 244, 241, 61, 157
4, 241, 1, 157

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

2 x 3 x 61 x 4 x 241 x 1 x 157 = 55393368

Therefore, the lowest common multiple of 488,241,366,471 is 55393368.

LCM Formula to Find Lowest Common Multiple of 488,241,366,471

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.

488 x 241 x 366 x 471 = 20273972688

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

241 : 1, 241

366 : 1, 2, 3, 6, 61, 122, 183, 366

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,241,366,471, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

241:241

366:2x 3x 61

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 61 = 366

Therefore, the value for common factors is 366.

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 = 20273972688/(1x366)

LCM = 20273972688/366

LCM = 55393368

Thus, we can understand that the LCM of 488,241,366,471 is 55393368.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 241, 366, 471

1. What is the LCM of 488, 241, 366, 471?

Answer: LCM of 488, 241, 366, 471 is 55393368.

2. How to calculate the LCM of 488, 241, 366, 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 488, 241, 366, 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}.