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LCM of 543, 507, 561, 961, 320

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


Find the LCM of 543, 507, 561, 961, 320 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 543, 507, 561, 961, 320. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 543,507,561,961,320

Given numbers are 543,507,561,961,320

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

The LCM of 543,507,561,961,320 is 5277175126080.

Find LCM of 543,507,561,961,320 with Prime Factorization


3 543, 507, 561, 961, 320
181, 169, 187, 961, 320

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

3 x 181 x 169 x 187 x 961 x 320 = 5277175126080

Therefore, the lowest common multiple of 543,507,561,961,320 is 5277175126080.

LCM Formula to Find Lowest Common Multiple of 543,507,561,961,320

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.

543 x 507 x 561 x 961 x 320 = 47494576134720

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.

543 : 1, 3, 181, 543

507 : 1, 3, 13, 39, 169, 507

561 : 1, 3, 11, 17, 33, 51, 187, 561

961 : 1, 31, 961

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 543,507,561,961,320, is 1.

Now, the common factors can be found like this.

543:3x 181

507:3x 13x 13

561:3x 11x 17

961:31x 31

320:2x 2x 2x 2x 2x 2x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 47494576134720/(1x9)

LCM = 47494576134720/9

LCM = 5277175126080

Thus, we can understand that the LCM of 543,507,561,961,320 is 5277175126080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 543, 507, 561, 961, 320

1. What is the LCM of 543, 507, 561, 961, 320?

Answer: LCM of 543, 507, 561, 961, 320 is 5277175126080.

2. How to calculate the LCM of 543, 507, 561, 961, 320?

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 543, 507, 561, 961, 320.

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}.