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LCM of 248, 794, 722, 641, 641

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


Find the LCM of 248, 794, 722, 641, 641 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 248, 794, 722, 641, 641. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,794,722,641,641

Given numbers are 248,794,722,641,641

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

The LCM of 248,794,722,641,641 is 22782816856.

Find LCM of 248,794,722,641,641 with Prime Factorization


2 248, 794, 722, 641, 641
641 124, 397, 361, 641, 641
124, 397, 361, 1, 1

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

2 x 641 x 124 x 397 x 361 x 1 x 1 = 22782816856

Therefore, the lowest common multiple of 248,794,722,641,641 is 22782816856.

LCM Formula to Find Lowest Common Multiple of 248,794,722,641,641

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.

248 x 794 x 722 x 641 x 641 = 58415142418784

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

794 : 1, 2, 397, 794

722 : 1, 2, 19, 38, 361, 722

641 : 1, 641

641 : 1, 641

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,794,722,641,641, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

794:2x 397

722:2x 19x 19

641:641

641:641

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 641 = 2564

Therefore, the value for common factors is 2564.

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 = 58415142418784/(1x2564)

LCM = 58415142418784/2564

LCM = 22782816856

Thus, we can understand that the LCM of 248,794,722,641,641 is 22782816856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 794, 722, 641, 641

1. What is the LCM of 248, 794, 722, 641, 641?

Answer: LCM of 248, 794, 722, 641, 641 is 22782816856.

2. How to calculate the LCM of 248, 794, 722, 641, 641?

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 248, 794, 722, 641, 641.

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}.