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LCM of 493, 835, 671, 293, 341

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


Find the LCM of 493, 835, 671, 293, 341 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 493, 835, 671, 293, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 493,835,671,293,341

Given numbers are 493,835,671,293,341

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

The LCM of 493,835,671,293,341 is 2508910846915.

Find LCM of 493,835,671,293,341 with Prime Factorization


11 493, 835, 671, 293, 341
493, 835, 61, 293, 31

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

11 x 493 x 835 x 61 x 293 x 31 = 2508910846915

Therefore, the lowest common multiple of 493,835,671,293,341 is 2508910846915.

LCM Formula to Find Lowest Common Multiple of 493,835,671,293,341

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.

493 x 835 x 671 x 293 x 341 = 27598019316065

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.

493 : 1, 17, 29, 493

835 : 1, 5, 167, 835

671 : 1, 11, 61, 671

293 : 1, 293

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,835,671,293,341, is 1.

Now, the common factors can be found like this.

493:17x 29

835:5x 167

671:11x 61

293:293

341:11x 31

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

11 = 11

Therefore, the value for common factors is 11.

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 = 27598019316065/(1x11)

LCM = 27598019316065/11

LCM = 2508910846915

Thus, we can understand that the LCM of 493,835,671,293,341 is 2508910846915.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 493, 835, 671, 293, 341

1. What is the LCM of 493, 835, 671, 293, 341?

Answer: LCM of 493, 835, 671, 293, 341 is 2508910846915.

2. How to calculate the LCM of 493, 835, 671, 293, 341?

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 493, 835, 671, 293, 341.

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}.