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LCM of 578, 138, 203, 520

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


Find the LCM of 578, 138, 203, 520 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, 138, 203, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,138,203,520

Given numbers are 578,138,203,520

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

The LCM of 578,138,203,520 is 2104971960.

Find LCM of 578,138,203,520 with Prime Factorization


2 578, 138, 203, 520
289, 69, 203, 260

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

2 x 289 x 69 x 203 x 260 = 2104971960

Therefore, the lowest common multiple of 578,138,203,520 is 2104971960.

LCM Formula to Find Lowest Common Multiple of 578,138,203,520

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 138 x 203 x 520 = 8419887840

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

203 : 1, 7, 29, 203

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,138,203,520, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

138:2x 3x 23

203:7x 29

520:2x 2x 2x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 8419887840/(1x4)

LCM = 8419887840/4

LCM = 2104971960

Thus, we can understand that the LCM of 578,138,203,520 is 2104971960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 138, 203, 520

1. What is the LCM of 578, 138, 203, 520?

Answer: LCM of 578, 138, 203, 520 is 2104971960.

2. How to calculate the LCM of 578, 138, 203, 520?

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, 138, 203, 520.

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}.