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LCM of 595, 962, 332, 101, 242

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


Find the LCM of 595, 962, 332, 101, 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 595, 962, 332, 101, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 595,962,332,101,242

Given numbers are 595,962,332,101,242

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

The LCM of 595,962,332,101,242 is 1161199579540.

Find LCM of 595,962,332,101,242 with Prime Factorization


2 595, 962, 332, 101, 242
595, 481, 166, 101, 121

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

2 x 595 x 481 x 166 x 101 x 121 = 1161199579540

Therefore, the lowest common multiple of 595,962,332,101,242 is 1161199579540.

LCM Formula to Find Lowest Common Multiple of 595,962,332,101,242

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.

595 x 962 x 332 x 101 x 242 = 4644798318160

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.

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

332 : 1, 2, 4, 83, 166, 332

101 : 1, 101

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 595,962,332,101,242, is 1.

Now, the common factors can be found like this.

595:5x 7x 17

962:2x 13x 37

332:2x 2x 83

101:101

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 2 = 4

Therefore, the value for common factors is 4.

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 = 4644798318160/(1x4)

LCM = 4644798318160/4

LCM = 1161199579540

Thus, we can understand that the LCM of 595,962,332,101,242 is 1161199579540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 595, 962, 332, 101, 242

1. What is the LCM of 595, 962, 332, 101, 242?

Answer: LCM of 595, 962, 332, 101, 242 is 1161199579540.

2. How to calculate the LCM of 595, 962, 332, 101, 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 595, 962, 332, 101, 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}.