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LCM of 795, 242, 238

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


Find the LCM of 795, 242, 238 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 795, 242, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 795,242,238

Given numbers are 795,242,238

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

The LCM of 795,242,238 is 22894410.

Find LCM of 795,242,238 with Prime Factorization


2 795, 242, 238
795, 121, 119

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

2 x 795 x 121 x 119 = 22894410

Therefore, the lowest common multiple of 795,242,238 is 22894410.

LCM Formula to Find Lowest Common Multiple of 795,242,238

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.

795 x 242 x 238 = 45788820

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.

795 : 1, 3, 5, 15, 53, 159, 265, 795

242 : 1, 2, 11, 22, 121, 242

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 795,242,238, is 1.

Now, the common factors can be found like this.

795:3x 5x 53

242:2x 11x 11

238:2x 7x 17

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 = 45788820/(1x2)

LCM = 45788820/2

LCM = 22894410

Thus, we can understand that the LCM of 795,242,238 is 22894410.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 795, 242, 238

1. What is the LCM of 795, 242, 238?

Answer: LCM of 795, 242, 238 is 22894410.

2. How to calculate the LCM of 795, 242, 238?

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 795, 242, 238.

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}.