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LCM of 535, 272, 477, 578, 552

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


Find the LCM of 535, 272, 477, 578, 552 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 535, 272, 477, 578, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,272,477,578,552

Given numbers are 535,272,477,578,552

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

The LCM of 535,272,477,578,552 is 27140498640.

Find LCM of 535,272,477,578,552 with Prime Factorization


2 535, 272, 477, 578, 552
2 535, 136, 477, 289, 276
2 535, 68, 477, 289, 138
3 535, 34, 477, 289, 69
17 535, 34, 159, 289, 23
535, 2, 159, 17, 23

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

2 x 2 x 2 x 3 x 17 x 535 x 2 x 159 x 17 x 23 = 27140498640

Therefore, the lowest common multiple of 535,272,477,578,552 is 27140498640.

LCM Formula to Find Lowest Common Multiple of 535,272,477,578,552

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.

535 x 272 x 477 x 578 x 552 = 22146646890240

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.

535 : 1, 5, 107, 535

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

477 : 1, 3, 9, 53, 159, 477

578 : 1, 2, 17, 34, 289, 578

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,272,477,578,552, is 1.

Now, the common factors can be found like this.

535:5x 107

272:2x 2x 2x 2x 17

477:3x 3x 53

578:2x 17x 17

552:2x 2x 2x 3x 23

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 2x 3x 17 = 816

Therefore, the value for common factors is 816.

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 = 22146646890240/(1x816)

LCM = 22146646890240/816

LCM = 27140498640

Thus, we can understand that the LCM of 535,272,477,578,552 is 27140498640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 272, 477, 578, 552

1. What is the LCM of 535, 272, 477, 578, 552?

Answer: LCM of 535, 272, 477, 578, 552 is 27140498640.

2. How to calculate the LCM of 535, 272, 477, 578, 552?

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 535, 272, 477, 578, 552.

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}.