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LCM of 322, 297, 727, 225, 782

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


Find the LCM of 322, 297, 727, 225, 782 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, 297, 727, 225, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,297,727,225,782

Given numbers are 322,297,727,225,782

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

The LCM of 322,297,727,225,782 is 29548515150.

Find LCM of 322,297,727,225,782 with Prime Factorization


2 322, 297, 727, 225, 782
3 161, 297, 727, 225, 391
3 161, 99, 727, 75, 391
23 161, 33, 727, 25, 391
7, 33, 727, 25, 17

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

2 x 3 x 3 x 23 x 7 x 33 x 727 x 25 x 17 = 29548515150

Therefore, the lowest common multiple of 322,297,727,225,782 is 29548515150.

LCM Formula to Find Lowest Common Multiple of 322,297,727,225,782

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 297 x 727 x 225 x 782 = 12233085272100

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

297 : 1, 3, 9, 11, 27, 33, 99, 297

727 : 1, 727

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,297,727,225,782, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

297:3x 3x 3x 11

727:727

225:3x 3x 5x 5

782:2x 17x 23

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 23 = 414

Therefore, the value for common factors is 414.

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 = 12233085272100/(1x414)

LCM = 12233085272100/414

LCM = 29548515150

Thus, we can understand that the LCM of 322,297,727,225,782 is 29548515150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 297, 727, 225, 782

1. What is the LCM of 322, 297, 727, 225, 782?

Answer: LCM of 322, 297, 727, 225, 782 is 29548515150.

2. How to calculate the LCM of 322, 297, 727, 225, 782?

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, 297, 727, 225, 782.

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}.