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LCM of 617, 278, 646, 752, 241

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


Find the LCM of 617, 278, 646, 752, 241 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 617, 278, 646, 752, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,278,646,752,241

Given numbers are 617,278,646,752,241

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

The LCM of 617,278,646,752,241 is 5020389005168.

Find LCM of 617,278,646,752,241 with Prime Factorization


2 617, 278, 646, 752, 241
617, 139, 323, 376, 241

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

2 x 617 x 139 x 323 x 376 x 241 = 5020389005168

Therefore, the lowest common multiple of 617,278,646,752,241 is 5020389005168.

LCM Formula to Find Lowest Common Multiple of 617,278,646,752,241

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.

617 x 278 x 646 x 752 x 241 = 20081556020672

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.

617 : 1, 617

278 : 1, 2, 139, 278

646 : 1, 2, 17, 19, 34, 38, 323, 646

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,278,646,752,241, is 1.

Now, the common factors can be found like this.

617:617

278:2x 139

646:2x 17x 19

752:2x 2x 2x 2x 47

241:241

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 = 20081556020672/(1x4)

LCM = 20081556020672/4

LCM = 5020389005168

Thus, we can understand that the LCM of 617,278,646,752,241 is 5020389005168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 278, 646, 752, 241

1. What is the LCM of 617, 278, 646, 752, 241?

Answer: LCM of 617, 278, 646, 752, 241 is 5020389005168.

2. How to calculate the LCM of 617, 278, 646, 752, 241?

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 617, 278, 646, 752, 241.

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}.