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LCM of 322, 869, 133, 970, 242

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


Find the LCM of 322, 869, 133, 970, 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 322, 869, 133, 970, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,869,133,970,242

Given numbers are 322,869,133,970,242

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

The LCM of 322,869,133,970,242 is 28363751570.

Find LCM of 322,869,133,970,242 with Prime Factorization


2 322, 869, 133, 970, 242
7 161, 869, 133, 485, 121
11 23, 869, 19, 485, 121
23, 79, 19, 485, 11

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

2 x 7 x 11 x 23 x 79 x 19 x 485 x 11 = 28363751570

Therefore, the lowest common multiple of 322,869,133,970,242 is 28363751570.

LCM Formula to Find Lowest Common Multiple of 322,869,133,970,242

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.

322 x 869 x 133 x 970 x 242 = 8736035483560

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

869 : 1, 11, 79, 869

133 : 1, 7, 19, 133

970 : 1, 2, 5, 10, 97, 194, 485, 970

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 322,869,133,970,242, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

869:11x 79

133:7x 19

970:2x 5x 97

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 8736035483560/(1x308)

LCM = 8736035483560/308

LCM = 28363751570

Thus, we can understand that the LCM of 322,869,133,970,242 is 28363751570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 869, 133, 970, 242

1. What is the LCM of 322, 869, 133, 970, 242?

Answer: LCM of 322, 869, 133, 970, 242 is 28363751570.

2. How to calculate the LCM of 322, 869, 133, 970, 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 322, 869, 133, 970, 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}.