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LCM of 546, 648, 551, 530

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


Find the LCM of 546, 648, 551, 530 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, 648, 551, 530. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,648,551,530

Given numbers are 546,648,551,530

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

The LCM of 546,648,551,530 is 8610212520.

Find LCM of 546,648,551,530 with Prime Factorization


2 546, 648, 551, 530
3 273, 324, 551, 265
91, 108, 551, 265

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

2 x 3 x 91 x 108 x 551 x 265 = 8610212520

Therefore, the lowest common multiple of 546,648,551,530 is 8610212520.

LCM Formula to Find Lowest Common Multiple of 546,648,551,530

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 648 x 551 x 530 = 103322550240

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

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

551 : 1, 19, 29, 551

530 : 1, 2, 5, 10, 53, 106, 265, 530

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,648,551,530, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

648:2x 2x 2x 3x 3x 3x 3

551:19x 29

530:2x 5x 53

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 3 = 12

Therefore, the value for common factors is 12.

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 = 103322550240/(1x12)

LCM = 103322550240/12

LCM = 8610212520

Thus, we can understand that the LCM of 546,648,551,530 is 8610212520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 648, 551, 530

1. What is the LCM of 546, 648, 551, 530?

Answer: LCM of 546, 648, 551, 530 is 8610212520.

2. How to calculate the LCM of 546, 648, 551, 530?

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, 648, 551, 530.

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}.