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LCM of 533, 513, 614, 542, 277

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


Find the LCM of 533, 513, 614, 542, 277 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 533, 513, 614, 542, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,513,614,542,277

Given numbers are 533,513,614,542,277

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

The LCM of 533,513,614,542,277 is 12602653772202.

Find LCM of 533,513,614,542,277 with Prime Factorization


2 533, 513, 614, 542, 277
533, 513, 307, 271, 277

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

2 x 533 x 513 x 307 x 271 x 277 = 12602653772202

Therefore, the lowest common multiple of 533,513,614,542,277 is 12602653772202.

LCM Formula to Find Lowest Common Multiple of 533,513,614,542,277

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.

533 x 513 x 614 x 542 x 277 = 25205307544404

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.

533 : 1, 13, 41, 533

513 : 1, 3, 9, 19, 27, 57, 171, 513

614 : 1, 2, 307, 614

542 : 1, 2, 271, 542

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,513,614,542,277, is 1.

Now, the common factors can be found like this.

533:13x 41

513:3x 3x 3x 19

614:2x 307

542:2x 271

277:277

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

2 = 2

Therefore, the value for common factors is 2.

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 = 25205307544404/(1x2)

LCM = 25205307544404/2

LCM = 12602653772202

Thus, we can understand that the LCM of 533,513,614,542,277 is 12602653772202.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 513, 614, 542, 277

1. What is the LCM of 533, 513, 614, 542, 277?

Answer: LCM of 533, 513, 614, 542, 277 is 12602653772202.

2. How to calculate the LCM of 533, 513, 614, 542, 277?

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 533, 513, 614, 542, 277.

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}.