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LCM of 304, 617, 570, 603

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


Find the LCM of 304, 617, 570, 603 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 304, 617, 570, 603. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,617,570,603

Given numbers are 304,617,570,603

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

The LCM of 304,617,570,603 is 565517520.

Find LCM of 304,617,570,603 with Prime Factorization


2 304, 617, 570, 603
3 152, 617, 285, 603
19 152, 617, 95, 201
8, 617, 5, 201

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

2 x 3 x 19 x 8 x 617 x 5 x 201 = 565517520

Therefore, the lowest common multiple of 304,617,570,603 is 565517520.

LCM Formula to Find Lowest Common Multiple of 304,617,570,603

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.

304 x 617 x 570 x 603 = 64468997280

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

617 : 1, 617

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,617,570,603, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

617:617

570:2x 3x 5x 19

603:3x 3x 67

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 19 = 114

Therefore, the value for common factors is 114.

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 = 64468997280/(1x114)

LCM = 64468997280/114

LCM = 565517520

Thus, we can understand that the LCM of 304,617,570,603 is 565517520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 617, 570, 603

1. What is the LCM of 304, 617, 570, 603?

Answer: LCM of 304, 617, 570, 603 is 565517520.

2. How to calculate the LCM of 304, 617, 570, 603?

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 304, 617, 570, 603.

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}.