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LCM of 263, 272, 140, 257, 389

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


Find the LCM of 263, 272, 140, 257, 389 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 263, 272, 140, 257, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,272,140,257,389

Given numbers are 263,272,140,257,389

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

The LCM of 263,272,140,257,389 is 250308398480.

Find LCM of 263,272,140,257,389 with Prime Factorization


2 263, 272, 140, 257, 389
2 263, 136, 70, 257, 389
263, 68, 35, 257, 389

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

2 x 2 x 263 x 68 x 35 x 257 x 389 = 250308398480

Therefore, the lowest common multiple of 263,272,140,257,389 is 250308398480.

LCM Formula to Find Lowest Common Multiple of 263,272,140,257,389

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.

263 x 272 x 140 x 257 x 389 = 1001233593920

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.

263 : 1, 263

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

257 : 1, 257

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,272,140,257,389, is 1.

Now, the common factors can be found like this.

263:263

272:2x 2x 2x 2x 17

140:2x 2x 5x 7

257:257

389:389

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1001233593920/(1x4)

LCM = 1001233593920/4

LCM = 250308398480

Thus, we can understand that the LCM of 263,272,140,257,389 is 250308398480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 272, 140, 257, 389

1. What is the LCM of 263, 272, 140, 257, 389?

Answer: LCM of 263, 272, 140, 257, 389 is 250308398480.

2. How to calculate the LCM of 263, 272, 140, 257, 389?

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 263, 272, 140, 257, 389.

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}.