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LCM of 258, 253, 341, 651, 411

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


Find the LCM of 258, 253, 341, 651, 411 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 258, 253, 341, 651, 411. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,253,341,651,411

Given numbers are 258,253,341,651,411

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

The LCM of 258,253,341,651,411 is 1940530746.

Find LCM of 258,253,341,651,411 with Prime Factorization


3 258, 253, 341, 651, 411
11 86, 253, 341, 217, 137
31 86, 23, 31, 217, 137
86, 23, 1, 7, 137

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

3 x 11 x 31 x 86 x 23 x 1 x 7 x 137 = 1940530746

Therefore, the lowest common multiple of 258,253,341,651,411 is 1940530746.

LCM Formula to Find Lowest Common Multiple of 258,253,341,651,411

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.

258 x 253 x 341 x 651 x 411 = 5955488859474

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

253 : 1, 11, 23, 253

341 : 1, 11, 31, 341

651 : 1, 3, 7, 21, 31, 93, 217, 651

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,253,341,651,411, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

253:11x 23

341:11x 31

651:3x 7x 31

411:3x 137

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

3x 3x 11x 31 = 3069

Therefore, the value for common factors is 3069.

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 = 5955488859474/(1x3069)

LCM = 5955488859474/3069

LCM = 1940530746

Thus, we can understand that the LCM of 258,253,341,651,411 is 1940530746.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 253, 341, 651, 411

1. What is the LCM of 258, 253, 341, 651, 411?

Answer: LCM of 258, 253, 341, 651, 411 is 1940530746.

2. How to calculate the LCM of 258, 253, 341, 651, 411?

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 258, 253, 341, 651, 411.

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}.