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LCM of 439, 904, 742, 251

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


Find the LCM of 439, 904, 742, 251 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 439, 904, 742, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 439,904,742,251

Given numbers are 439,904,742,251

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

The LCM of 439,904,742,251 is 36955627576.

Find LCM of 439,904,742,251 with Prime Factorization


2 439, 904, 742, 251
439, 452, 371, 251

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

2 x 439 x 452 x 371 x 251 = 36955627576

Therefore, the lowest common multiple of 439,904,742,251 is 36955627576.

LCM Formula to Find Lowest Common Multiple of 439,904,742,251

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.

439 x 904 x 742 x 251 = 73911255152

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.

439 : 1, 439

904 : 1, 2, 4, 8, 113, 226, 452, 904

742 : 1, 2, 7, 14, 53, 106, 371, 742

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,904,742,251, is 1.

Now, the common factors can be found like this.

439:439

904:2x 2x 2x 113

742:2x 7x 53

251:251

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 = 73911255152/(1x2)

LCM = 73911255152/2

LCM = 36955627576

Thus, we can understand that the LCM of 439,904,742,251 is 36955627576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 439, 904, 742, 251

1. What is the LCM of 439, 904, 742, 251?

Answer: LCM of 439, 904, 742, 251 is 36955627576.

2. How to calculate the LCM of 439, 904, 742, 251?

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 439, 904, 742, 251.

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}.