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LCM of 578, 469, 425, 202

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


Find the LCM of 578, 469, 425, 202 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, 469, 425, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,469,425,202

Given numbers are 578,469,425,202

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

The LCM of 578,469,425,202 is 684482050.

Find LCM of 578,469,425,202 with Prime Factorization


2 578, 469, 425, 202
17 289, 469, 425, 101
17, 469, 25, 101

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

2 x 17 x 17 x 469 x 25 x 101 = 684482050

Therefore, the lowest common multiple of 578,469,425,202 is 684482050.

LCM Formula to Find Lowest Common Multiple of 578,469,425,202

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 469 x 425 x 202 = 23272389700

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

469 : 1, 7, 67, 469

425 : 1, 5, 17, 25, 85, 425

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,469,425,202, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

469:7x 67

425:5x 5x 17

202:2x 101

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 23272389700/(1x34)

LCM = 23272389700/34

LCM = 684482050

Thus, we can understand that the LCM of 578,469,425,202 is 684482050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 469, 425, 202

1. What is the LCM of 578, 469, 425, 202?

Answer: LCM of 578, 469, 425, 202 is 684482050.

2. How to calculate the LCM of 578, 469, 425, 202?

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, 469, 425, 202.

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}.