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LCM of 629, 724, 863, 214

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


Find the LCM of 629, 724, 863, 214 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 629, 724, 863, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 629,724,863,214

Given numbers are 629,724,863,214

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

The LCM of 629,724,863,214 is 42051722036.

Find LCM of 629,724,863,214 with Prime Factorization


2 629, 724, 863, 214
629, 362, 863, 107

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

2 x 629 x 362 x 863 x 107 = 42051722036

Therefore, the lowest common multiple of 629,724,863,214 is 42051722036.

LCM Formula to Find Lowest Common Multiple of 629,724,863,214

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.

629 x 724 x 863 x 214 = 84103444072

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.

629 : 1, 17, 37, 629

724 : 1, 2, 4, 181, 362, 724

863 : 1, 863

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,724,863,214, is 1.

Now, the common factors can be found like this.

629:17x 37

724:2x 2x 181

863:863

214:2x 107

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 = 84103444072/(1x2)

LCM = 84103444072/2

LCM = 42051722036

Thus, we can understand that the LCM of 629,724,863,214 is 42051722036.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 629, 724, 863, 214

1. What is the LCM of 629, 724, 863, 214?

Answer: LCM of 629, 724, 863, 214 is 42051722036.

2. How to calculate the LCM of 629, 724, 863, 214?

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 629, 724, 863, 214.

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}.