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LCM of 628, 213, 610

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


Find the LCM of 628, 213, 610 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, 213, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 628,213,610

Given numbers are 628,213,610

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

The LCM of 628,213,610 is 40798020.

Find LCM of 628,213,610 with Prime Factorization


2 628, 213, 610
314, 213, 305

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

2 x 314 x 213 x 305 = 40798020

Therefore, the lowest common multiple of 628,213,610 is 40798020.

LCM Formula to Find Lowest Common Multiple of 628,213,610

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 213 x 610 = 81596040

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

213 : 1, 3, 71, 213

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,213,610, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

213:3x 71

610:2x 5x 61

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

2 = 2

Therefore, the value for common factors is 2.

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 = 81596040/(1x2)

LCM = 81596040/2

LCM = 40798020

Thus, we can understand that the LCM of 628,213,610 is 40798020.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 628, 213, 610

1. What is the LCM of 628, 213, 610?

Answer: LCM of 628, 213, 610 is 40798020.

2. How to calculate the LCM of 628, 213, 610?

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, 213, 610.

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}.