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LCM of 214, 629, 107

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


Find the LCM of 214, 629, 107 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 214, 629, 107. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,629,107

Given numbers are 214,629,107

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

The LCM of 214,629,107 is 134606.

Find LCM of 214,629,107 with Prime Factorization


107 214, 629, 107
2, 629, 1

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

107 x 2 x 629 x 1 = 134606

Therefore, the lowest common multiple of 214,629,107 is 134606.

LCM Formula to Find Lowest Common Multiple of 214,629,107

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.

214 x 629 x 107 = 14402842

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.

214 : 1, 2, 107, 214

629 : 1, 17, 37, 629

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,629,107, is 1.

Now, the common factors can be found like this.

214:2x 107

629:17x 37

107:107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 14402842/(1x107)

LCM = 14402842/107

LCM = 134606

Thus, we can understand that the LCM of 214,629,107 is 134606.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 214, 629, 107

1. What is the LCM of 214, 629, 107?

Answer: LCM of 214, 629, 107 is 134606.

2. How to calculate the LCM of 214, 629, 107?

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 214, 629, 107.

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}.