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LCM of 578, 578, 526, 127, 552

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


Find the LCM of 578, 578, 526, 127, 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 578, 578, 526, 127, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,578,526,127,552

Given numbers are 578,578,526,127,552

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

The LCM of 578,578,526,127,552 is 5328394728.

Find LCM of 578,578,526,127,552 with Prime Factorization


2 578, 578, 526, 127, 552
17 289, 289, 263, 127, 276
17 17, 17, 263, 127, 276
1, 1, 263, 127, 276

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

2 x 17 x 17 x 1 x 1 x 263 x 127 x 276 = 5328394728

Therefore, the lowest common multiple of 578,578,526,127,552 is 5328394728.

LCM Formula to Find Lowest Common Multiple of 578,578,526,127,552

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.

578 x 578 x 526 x 127 x 552 = 12319248611136

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.

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

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

526 : 1, 2, 263, 526

127 : 1, 127

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 578,578,526,127,552, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

578:2x 17x 17

526:2x 263

127:127

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 17x 17 = 2312

Therefore, the value for common factors is 2312.

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 = 12319248611136/(1x2312)

LCM = 12319248611136/2312

LCM = 5328394728

Thus, we can understand that the LCM of 578,578,526,127,552 is 5328394728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 578, 526, 127, 552

1. What is the LCM of 578, 578, 526, 127, 552?

Answer: LCM of 578, 578, 526, 127, 552 is 5328394728.

2. How to calculate the LCM of 578, 578, 526, 127, 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 578, 578, 526, 127, 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}.