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LCM of 910, 608, 633, 546, 341

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


Find the LCM of 910, 608, 633, 546, 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 910, 608, 633, 546, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 910,608,633,546,341

Given numbers are 910,608,633,546,341

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

The LCM of 910,608,633,546,341 is 59713573920.

Find LCM of 910,608,633,546,341 with Prime Factorization


2 910, 608, 633, 546, 341
3 455, 304, 633, 273, 341
7 455, 304, 211, 91, 341
13 65, 304, 211, 13, 341
5, 304, 211, 1, 341

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

2 x 3 x 7 x 13 x 5 x 304 x 211 x 1 x 341 = 59713573920

Therefore, the lowest common multiple of 910,608,633,546,341 is 59713573920.

LCM Formula to Find Lowest Common Multiple of 910,608,633,546,341

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.

910 x 608 x 633 x 546 x 341 = 65207222720640

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.

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

633 : 1, 3, 211, 633

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,608,633,546,341, is 1.

Now, the common factors can be found like this.

910:2x 5x 7x 13

608:2x 2x 2x 2x 2x 19

633:3x 211

546:2x 3x 7x 13

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.

2x 2x 3x 7x 13 = 1092

Therefore, the value for common factors is 1092.

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 = 65207222720640/(1x1092)

LCM = 65207222720640/1092

LCM = 59713573920

Thus, we can understand that the LCM of 910,608,633,546,341 is 59713573920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 910, 608, 633, 546, 341

1. What is the LCM of 910, 608, 633, 546, 341?

Answer: LCM of 910, 608, 633, 546, 341 is 59713573920.

2. How to calculate the LCM of 910, 608, 633, 546, 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 910, 608, 633, 546, 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}.