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LCM of 486, 418, 142, 539, 238

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


Find the LCM of 486, 418, 142, 539, 238 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 486, 418, 142, 539, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,418,142,539,238

Given numbers are 486,418,142,539,238

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

The LCM of 486,418,142,539,238 is 6007391082.

Find LCM of 486,418,142,539,238 with Prime Factorization


2 486, 418, 142, 539, 238
7 243, 209, 71, 539, 119
11 243, 209, 71, 77, 17
243, 19, 71, 7, 17

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

2 x 7 x 11 x 243 x 19 x 71 x 7 x 17 = 6007391082

Therefore, the lowest common multiple of 486,418,142,539,238 is 6007391082.

LCM Formula to Find Lowest Common Multiple of 486,418,142,539,238

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.

486 x 418 x 142 x 539 x 238 = 3700552906512

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

418 : 1, 2, 11, 19, 22, 38, 209, 418

142 : 1, 2, 71, 142

539 : 1, 7, 11, 49, 77, 539

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,418,142,539,238, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

418:2x 11x 19

142:2x 71

539:7x 7x 11

238:2x 7x 17

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 7x 11 = 616

Therefore, the value for common factors is 616.

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 = 3700552906512/(1x616)

LCM = 3700552906512/616

LCM = 6007391082

Thus, we can understand that the LCM of 486,418,142,539,238 is 6007391082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 486, 418, 142, 539, 238

1. What is the LCM of 486, 418, 142, 539, 238?

Answer: LCM of 486, 418, 142, 539, 238 is 6007391082.

2. How to calculate the LCM of 486, 418, 142, 539, 238?

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 486, 418, 142, 539, 238.

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}.