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LCM of 628, 171, 595, 464

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


Find the LCM of 628, 171, 595, 464 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 628, 171, 595, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,171,595,464

Given numbers are 628,171,595,464

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

The LCM of 628,171,595,464 is 7411919760.

Find LCM of 628,171,595,464 with Prime Factorization


2 628, 171, 595, 464
2 314, 171, 595, 232
157, 171, 595, 116

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

2 x 2 x 157 x 171 x 595 x 116 = 7411919760

Therefore, the lowest common multiple of 628,171,595,464 is 7411919760.

LCM Formula to Find Lowest Common Multiple of 628,171,595,464

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.

628 x 171 x 595 x 464 = 29647679040

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.

628 : 1, 2, 4, 157, 314, 628

171 : 1, 3, 9, 19, 57, 171

595 : 1, 5, 7, 17, 35, 85, 119, 595

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,171,595,464, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

171:3x 3x 19

595:5x 7x 17

464:2x 2x 2x 2x 29

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 = 29647679040/(1x4)

LCM = 29647679040/4

LCM = 7411919760

Thus, we can understand that the LCM of 628,171,595,464 is 7411919760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 628, 171, 595, 464

1. What is the LCM of 628, 171, 595, 464?

Answer: LCM of 628, 171, 595, 464 is 7411919760.

2. How to calculate the LCM of 628, 171, 595, 464?

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 628, 171, 595, 464.

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}.