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LCM of 678, 678, 885, 526, 552

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


Find the LCM of 678, 678, 885, 526, 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 678, 678, 885, 526, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 678,678,885,526,552

Given numbers are 678,678,885,526,552

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

The LCM of 678,678,885,526,552 is 4839441960.

Find LCM of 678,678,885,526,552 with Prime Factorization


2 678, 678, 885, 526, 552
3 339, 339, 885, 263, 276
113 113, 113, 295, 263, 92
1, 1, 295, 263, 92

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

2 x 3 x 113 x 1 x 1 x 295 x 263 x 92 = 4839441960

Therefore, the lowest common multiple of 678,678,885,526,552 is 4839441960.

LCM Formula to Find Lowest Common Multiple of 678,678,885,526,552

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.

678 x 678 x 885 x 526 x 552 = 118121099359680

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

678 : 1, 2, 3, 6, 113, 226, 339, 678

885 : 1, 3, 5, 15, 59, 177, 295, 885

526 : 1, 2, 263, 526

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 678,678,885,526,552, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

678:2x 3x 113

885:3x 5x 59

526:2x 263

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 3x 3x 3x 113 = 24408

Therefore, the value for common factors is 24408.

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 = 118121099359680/(1x24408)

LCM = 118121099359680/24408

LCM = 4839441960

Thus, we can understand that the LCM of 678,678,885,526,552 is 4839441960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 678, 678, 885, 526, 552

1. What is the LCM of 678, 678, 885, 526, 552?

Answer: LCM of 678, 678, 885, 526, 552 is 4839441960.

2. How to calculate the LCM of 678, 678, 885, 526, 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 678, 678, 885, 526, 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}.