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LCM of 251, 372, 713, 279

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


Find the LCM of 251, 372, 713, 279 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 251, 372, 713, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,372,713,279

Given numbers are 251,372,713,279

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

The LCM of 251,372,713,279 is 6442668.

Find LCM of 251,372,713,279 with Prime Factorization


3 251, 372, 713, 279
31 251, 124, 713, 93
251, 4, 23, 3

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

3 x 31 x 251 x 4 x 23 x 3 = 6442668

Therefore, the lowest common multiple of 251,372,713,279 is 6442668.

LCM Formula to Find Lowest Common Multiple of 251,372,713,279

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.

251 x 372 x 713 x 279 = 18574211844

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.

251 : 1, 251

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

713 : 1, 23, 31, 713

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,372,713,279, is 1.

Now, the common factors can be found like this.

251:251

372:2x 2x 3x 31

713:23x 31

279:3x 3x 31

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

3x 31x 31 = 2883

Therefore, the value for common factors is 2883.

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 = 18574211844/(1x2883)

LCM = 18574211844/2883

LCM = 6442668

Thus, we can understand that the LCM of 251,372,713,279 is 6442668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 372, 713, 279

1. What is the LCM of 251, 372, 713, 279?

Answer: LCM of 251, 372, 713, 279 is 6442668.

2. How to calculate the LCM of 251, 372, 713, 279?

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 251, 372, 713, 279.

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}.