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LCM of 644, 414, 133

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


Find the LCM of 644, 414, 133 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 644, 414, 133. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,414,133

Given numbers are 644,414,133

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

The LCM of 644,414,133 is 110124.

Find LCM of 644,414,133 with Prime Factorization


2 644, 414, 133
7 322, 207, 133
23 46, 207, 19
2, 9, 19

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

2 x 7 x 23 x 2 x 9 x 19 = 110124

Therefore, the lowest common multiple of 644,414,133 is 110124.

LCM Formula to Find Lowest Common Multiple of 644,414,133

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.

644 x 414 x 133 = 35459928

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,414,133, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

414:2x 3x 3x 23

133:7x 19

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

2x 7x 23 = 322

Therefore, the value for common factors is 322.

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 = 35459928/(1x322)

LCM = 35459928/322

LCM = 110124

Thus, we can understand that the LCM of 644,414,133 is 110124.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 644, 414, 133

1. What is the LCM of 644, 414, 133?

Answer: LCM of 644, 414, 133 is 110124.

2. How to calculate the LCM of 644, 414, 133?

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 644, 414, 133.

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}.