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LCM of 305, 962, 141, 412, 442

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


Find the LCM of 305, 962, 141, 412, 442 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 305, 962, 141, 412, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,962,141,412,442

Given numbers are 305,962,141,412,442

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

The LCM of 305,962,141,412,442 is 144880576620.

Find LCM of 305,962,141,412,442 with Prime Factorization


2 305, 962, 141, 412, 442
13 305, 481, 141, 206, 221
305, 37, 141, 206, 17

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

2 x 13 x 305 x 37 x 141 x 206 x 17 = 144880576620

Therefore, the lowest common multiple of 305,962,141,412,442 is 144880576620.

LCM Formula to Find Lowest Common Multiple of 305,962,141,412,442

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.

305 x 962 x 141 x 412 x 442 = 7533789984240

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.

305 : 1, 5, 61, 305

962 : 1, 2, 13, 26, 37, 74, 481, 962

141 : 1, 3, 47, 141

412 : 1, 2, 4, 103, 206, 412

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,962,141,412,442, is 1.

Now, the common factors can be found like this.

305:5x 61

962:2x 13x 37

141:3x 47

412:2x 2x 103

442:2x 13x 17

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 13 = 52

Therefore, the value for common factors is 52.

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 = 7533789984240/(1x52)

LCM = 7533789984240/52

LCM = 144880576620

Thus, we can understand that the LCM of 305,962,141,412,442 is 144880576620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 962, 141, 412, 442

1. What is the LCM of 305, 962, 141, 412, 442?

Answer: LCM of 305, 962, 141, 412, 442 is 144880576620.

2. How to calculate the LCM of 305, 962, 141, 412, 442?

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 305, 962, 141, 412, 442.

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}.