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LCM of 111, 238, 799, 342

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


Find the LCM of 111, 238, 799, 342 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 111, 238, 799, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 111,238,799,342

Given numbers are 111,238,799,342

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

The LCM of 111,238,799,342 is 70773822.

Find LCM of 111,238,799,342 with Prime Factorization


2 111, 238, 799, 342
3 111, 119, 799, 171
17 37, 119, 799, 57
37, 7, 47, 57

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

2 x 3 x 17 x 37 x 7 x 47 x 57 = 70773822

Therefore, the lowest common multiple of 111,238,799,342 is 70773822.

LCM Formula to Find Lowest Common Multiple of 111,238,799,342

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.

111 x 238 x 799 x 342 = 7218929844

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.

111 : 1, 3, 37, 111

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

799 : 1, 17, 47, 799

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,238,799,342, is 1.

Now, the common factors can be found like this.

111:3x 37

238:2x 7x 17

799:17x 47

342:2x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 7218929844/(1x102)

LCM = 7218929844/102

LCM = 70773822

Thus, we can understand that the LCM of 111,238,799,342 is 70773822.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 111, 238, 799, 342

1. What is the LCM of 111, 238, 799, 342?

Answer: LCM of 111, 238, 799, 342 is 70773822.

2. How to calculate the LCM of 111, 238, 799, 342?

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 111, 238, 799, 342.

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}.