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LCM of 948, 701, 310, 439, 241

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


Find the LCM of 948, 701, 310, 439, 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 948, 701, 310, 439, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 948,701,310,439,241

Given numbers are 948,701,310,439,241

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

The LCM of 948,701,310,439,241 is 10897819647060.

Find LCM of 948,701,310,439,241 with Prime Factorization


2 948, 701, 310, 439, 241
474, 701, 155, 439, 241

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

2 x 474 x 701 x 155 x 439 x 241 = 10897819647060

Therefore, the lowest common multiple of 948,701,310,439,241 is 10897819647060.

LCM Formula to Find Lowest Common Multiple of 948,701,310,439,241

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.

948 x 701 x 310 x 439 x 241 = 21795639294120

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.

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

701 : 1, 701

310 : 1, 2, 5, 10, 31, 62, 155, 310

439 : 1, 439

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,701,310,439,241, is 1.

Now, the common factors can be found like this.

948:2x 2x 3x 79

701:701

310:2x 5x 31

439:439

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 21795639294120/(1x2)

LCM = 21795639294120/2

LCM = 10897819647060

Thus, we can understand that the LCM of 948,701,310,439,241 is 10897819647060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 948, 701, 310, 439, 241

1. What is the LCM of 948, 701, 310, 439, 241?

Answer: LCM of 948, 701, 310, 439, 241 is 10897819647060.

2. How to calculate the LCM of 948, 701, 310, 439, 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 948, 701, 310, 439, 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}.