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LCM of 578, 195, 561, 102

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


Find the LCM of 578, 195, 561, 102 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, 195, 561, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,195,561,102

Given numbers are 578,195,561,102

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

The LCM of 578,195,561,102 is 1239810.

Find LCM of 578,195,561,102 with Prime Factorization


2 578, 195, 561, 102
3 289, 195, 561, 51
17 289, 65, 187, 17
1, 65, 11, 17

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

2 x 3 x 17 x 1 x 65 x 11 x 17 = 1239810

Therefore, the lowest common multiple of 578,195,561,102 is 1239810.

LCM Formula to Find Lowest Common Multiple of 578,195,561,102

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 195 x 561 x 102 = 6449491620

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

195 : 1, 3, 5, 13, 15, 39, 65, 195

561 : 1, 3, 11, 17, 33, 51, 187, 561

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,195,561,102, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

195:3x 5x 13

561:3x 11x 17

102:2x 3x 17

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

2x 3x 3x 17x 17 = 5202

Therefore, the value for common factors is 5202.

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 = 6449491620/(1x5202)

LCM = 6449491620/5202

LCM = 1239810

Thus, we can understand that the LCM of 578,195,561,102 is 1239810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 195, 561, 102

1. What is the LCM of 578, 195, 561, 102?

Answer: LCM of 578, 195, 561, 102 is 1239810.

2. How to calculate the LCM of 578, 195, 561, 102?

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, 195, 561, 102.

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}.