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LCM of 534, 759, 356, 279, 728

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


Find the LCM of 534, 759, 356, 279, 728 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 534, 759, 356, 279, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,759,356,279,728

Given numbers are 534,759,356,279,728

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

The LCM of 534,759,356,279,728 is 4573472904.

Find LCM of 534,759,356,279,728 with Prime Factorization


2 534, 759, 356, 279, 728
2 267, 759, 178, 279, 364
3 267, 759, 89, 279, 182
89 89, 253, 89, 93, 182
1, 253, 1, 93, 182

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

2 x 2 x 3 x 89 x 1 x 253 x 1 x 93 x 182 = 4573472904

Therefore, the lowest common multiple of 534,759,356,279,728 is 4573472904.

LCM Formula to Find Lowest Common Multiple of 534,759,356,279,728

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.

534 x 759 x 356 x 279 x 728 = 29306814368832

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

759 : 1, 3, 11, 23, 33, 69, 253, 759

356 : 1, 2, 4, 89, 178, 356

279 : 1, 3, 9, 31, 93, 279

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,759,356,279,728, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

759:3x 11x 23

356:2x 2x 89

279:3x 3x 31

728:2x 2x 2x 7x 13

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 3x 3x 89 = 6408

Therefore, the value for common factors is 6408.

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 = 29306814368832/(1x6408)

LCM = 29306814368832/6408

LCM = 4573472904

Thus, we can understand that the LCM of 534,759,356,279,728 is 4573472904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 759, 356, 279, 728

1. What is the LCM of 534, 759, 356, 279, 728?

Answer: LCM of 534, 759, 356, 279, 728 is 4573472904.

2. How to calculate the LCM of 534, 759, 356, 279, 728?

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 534, 759, 356, 279, 728.

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}.