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LCM of 242, 839, 865, 108

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


Find the LCM of 242, 839, 865, 108 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 242, 839, 865, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,839,865,108

Given numbers are 242,839,865,108

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

The LCM of 242,839,865,108 is 9483904980.

Find LCM of 242,839,865,108 with Prime Factorization


2 242, 839, 865, 108
121, 839, 865, 54

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

2 x 121 x 839 x 865 x 54 = 9483904980

Therefore, the lowest common multiple of 242,839,865,108 is 9483904980.

LCM Formula to Find Lowest Common Multiple of 242,839,865,108

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.

242 x 839 x 865 x 108 = 18967809960

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.

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

839 : 1, 839

865 : 1, 5, 173, 865

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,839,865,108, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

839:839

865:5x 173

108:2x 2x 3x 3x 3

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 = 18967809960/(1x2)

LCM = 18967809960/2

LCM = 9483904980

Thus, we can understand that the LCM of 242,839,865,108 is 9483904980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 839, 865, 108

1. What is the LCM of 242, 839, 865, 108?

Answer: LCM of 242, 839, 865, 108 is 9483904980.

2. How to calculate the LCM of 242, 839, 865, 108?

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 242, 839, 865, 108.

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}.