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LCM of 701, 697, 323, 835, 241

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


Find the LCM of 701, 697, 323, 835, 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 701, 697, 323, 835, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 701,697,323,835,241

Given numbers are 701,697,323,835,241

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

The LCM of 701,697,323,835,241 is 1868133528605.

Find LCM of 701,697,323,835,241 with Prime Factorization


17 701, 697, 323, 835, 241
701, 41, 19, 835, 241

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

17 x 701 x 41 x 19 x 835 x 241 = 1868133528605

Therefore, the lowest common multiple of 701,697,323,835,241 is 1868133528605.

LCM Formula to Find Lowest Common Multiple of 701,697,323,835,241

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.

701 x 697 x 323 x 835 x 241 = 31758269986285

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.

701 : 1, 701

697 : 1, 17, 41, 697

323 : 1, 17, 19, 323

835 : 1, 5, 167, 835

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 701,697,323,835,241, is 1.

Now, the common factors can be found like this.

701:701

697:17x 41

323:17x 19

835:5x 167

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.

17 = 17

Therefore, the value for common factors is 17.

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 = 31758269986285/(1x17)

LCM = 31758269986285/17

LCM = 1868133528605

Thus, we can understand that the LCM of 701,697,323,835,241 is 1868133528605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 701, 697, 323, 835, 241

1. What is the LCM of 701, 697, 323, 835, 241?

Answer: LCM of 701, 697, 323, 835, 241 is 1868133528605.

2. How to calculate the LCM of 701, 697, 323, 835, 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 701, 697, 323, 835, 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}.