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LCM of 114, 945, 844, 390, 242

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


Find the LCM of 114, 945, 844, 390, 242 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 114, 945, 844, 390, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 114,945,844,390,242

Given numbers are 114,945,844,390,242

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

The LCM of 114,945,844,390,242 is 23837273460.

Find LCM of 114,945,844,390,242 with Prime Factorization


2 114, 945, 844, 390, 242
3 57, 945, 422, 195, 121
5 19, 315, 422, 65, 121
19, 63, 422, 13, 121

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

2 x 3 x 5 x 19 x 63 x 422 x 13 x 121 = 23837273460

Therefore, the lowest common multiple of 114,945,844,390,242 is 23837273460.

LCM Formula to Find Lowest Common Multiple of 114,945,844,390,242

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.

114 x 945 x 844 x 390 x 242 = 8581418445600

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

844 : 1, 2, 4, 211, 422, 844

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,945,844,390,242, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

945:3x 3x 3x 5x 7

844:2x 2x 211

390:2x 3x 5x 13

242:2x 11x 11

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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 8581418445600/(1x360)

LCM = 8581418445600/360

LCM = 23837273460

Thus, we can understand that the LCM of 114,945,844,390,242 is 23837273460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 114, 945, 844, 390, 242

1. What is the LCM of 114, 945, 844, 390, 242?

Answer: LCM of 114, 945, 844, 390, 242 is 23837273460.

2. How to calculate the LCM of 114, 945, 844, 390, 242?

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 114, 945, 844, 390, 242.

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}.