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LCM of 257, 899, 378, 713

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


Find the LCM of 257, 899, 378, 713 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 257, 899, 378, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 257,899,378,713

Given numbers are 257,899,378,713

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

The LCM of 257,899,378,713 is 2008687842.

Find LCM of 257,899,378,713 with Prime Factorization


31 257, 899, 378, 713
257, 29, 378, 23

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

31 x 257 x 29 x 378 x 23 = 2008687842

Therefore, the lowest common multiple of 257,899,378,713 is 2008687842.

LCM Formula to Find Lowest Common Multiple of 257,899,378,713

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.

257 x 899 x 378 x 713 = 62269323102

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.

257 : 1, 257

899 : 1, 29, 31, 899

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,899,378,713, is 1.

Now, the common factors can be found like this.

257:257

899:29x 31

378:2x 3x 3x 3x 7

713:23x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 62269323102/(1x31)

LCM = 62269323102/31

LCM = 2008687842

Thus, we can understand that the LCM of 257,899,378,713 is 2008687842.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 257, 899, 378, 713

1. What is the LCM of 257, 899, 378, 713?

Answer: LCM of 257, 899, 378, 713 is 2008687842.

2. How to calculate the LCM of 257, 899, 378, 713?

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 257, 899, 378, 713.

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}.