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LCM of 497, 391, 592, 658, 257

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


Find the LCM of 497, 391, 592, 658, 257 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 497, 391, 592, 658, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,391,592,658,257

Given numbers are 497,391,592,658,257

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

The LCM of 497,391,592,658,257 is 1389587293136.

Find LCM of 497,391,592,658,257 with Prime Factorization


2 497, 391, 592, 658, 257
7 497, 391, 296, 329, 257
71, 391, 296, 47, 257

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

2 x 7 x 71 x 391 x 296 x 47 x 257 = 1389587293136

Therefore, the lowest common multiple of 497,391,592,658,257 is 1389587293136.

LCM Formula to Find Lowest Common Multiple of 497,391,592,658,257

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.

497 x 391 x 592 x 658 x 257 = 19454222103904

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.

497 : 1, 7, 71, 497

391 : 1, 17, 23, 391

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

658 : 1, 2, 7, 14, 47, 94, 329, 658

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,391,592,658,257, is 1.

Now, the common factors can be found like this.

497:7x 71

391:17x 23

592:2x 2x 2x 2x 37

658:2x 7x 47

257:257

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 19454222103904/(1x14)

LCM = 19454222103904/14

LCM = 1389587293136

Thus, we can understand that the LCM of 497,391,592,658,257 is 1389587293136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 391, 592, 658, 257

1. What is the LCM of 497, 391, 592, 658, 257?

Answer: LCM of 497, 391, 592, 658, 257 is 1389587293136.

2. How to calculate the LCM of 497, 391, 592, 658, 257?

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 497, 391, 592, 658, 257.

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}.