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LCM of 546, 354, 315, 486, 547

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


Find the LCM of 546, 354, 315, 486, 547 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 546, 354, 315, 486, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,354,315,486,547

Given numbers are 546,354,315,486,547

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

The LCM of 546,354,315,486,547 is 7136528490.

Find LCM of 546,354,315,486,547 with Prime Factorization


2 546, 354, 315, 486, 547
3 273, 177, 315, 243, 547
3 91, 59, 105, 81, 547
7 91, 59, 35, 27, 547
13, 59, 5, 27, 547

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

2 x 3 x 3 x 7 x 13 x 59 x 5 x 27 x 547 = 7136528490

Therefore, the lowest common multiple of 546,354,315,486,547 is 7136528490.

LCM Formula to Find Lowest Common Multiple of 546,354,315,486,547

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.

546 x 354 x 315 x 486 x 547 = 16185646615320

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

354 : 1, 2, 3, 6, 59, 118, 177, 354

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,354,315,486,547, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

354:2x 3x 59

315:3x 3x 5x 7

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

547:547

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 3x 3x 3x 3x 7 = 2268

Therefore, the value for common factors is 2268.

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 = 16185646615320/(1x2268)

LCM = 16185646615320/2268

LCM = 7136528490

Thus, we can understand that the LCM of 546,354,315,486,547 is 7136528490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 354, 315, 486, 547

1. What is the LCM of 546, 354, 315, 486, 547?

Answer: LCM of 546, 354, 315, 486, 547 is 7136528490.

2. How to calculate the LCM of 546, 354, 315, 486, 547?

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 546, 354, 315, 486, 547.

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}.