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LCM of 247, 852, 381, 381, 122

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


Find the LCM of 247, 852, 381, 381, 122 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 247, 852, 381, 381, 122. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,852,381,381,122

Given numbers are 247,852,381,381,122

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

The LCM of 247,852,381,381,122 is 1630309668.

Find LCM of 247,852,381,381,122 with Prime Factorization


2 247, 852, 381, 381, 122
3 247, 426, 381, 381, 61
127 247, 142, 127, 127, 61
247, 142, 1, 1, 61

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

2 x 3 x 127 x 247 x 142 x 1 x 1 x 61 = 1630309668

Therefore, the lowest common multiple of 247,852,381,381,122 is 1630309668.

LCM Formula to Find Lowest Common Multiple of 247,852,381,381,122

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.

247 x 852 x 381 x 381 x 122 = 3726887901048

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.

247 : 1, 13, 19, 247

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

381 : 1, 3, 127, 381

381 : 1, 3, 127, 381

122 : 1, 2, 61, 122

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,852,381,381,122, is 1.

Now, the common factors can be found like this.

247:13x 19

852:2x 2x 3x 71

381:3x 127

381:3x 127

122:2x 61

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 3x 127 = 2286

Therefore, the value for common factors is 2286.

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 = 3726887901048/(1x2286)

LCM = 3726887901048/2286

LCM = 1630309668

Thus, we can understand that the LCM of 247,852,381,381,122 is 1630309668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 852, 381, 381, 122

1. What is the LCM of 247, 852, 381, 381, 122?

Answer: LCM of 247, 852, 381, 381, 122 is 1630309668.

2. How to calculate the LCM of 247, 852, 381, 381, 122?

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 247, 852, 381, 381, 122.

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}.