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LCM of 394, 734, 969, 772, 409

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


Find the LCM of 394, 734, 969, 772, 409 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 394, 734, 969, 772, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,734,969,772,409

Given numbers are 394,734,969,772,409

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

The LCM of 394,734,969,772,409 is 22120588447788.

Find LCM of 394,734,969,772,409 with Prime Factorization


2 394, 734, 969, 772, 409
197, 367, 969, 386, 409

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

2 x 197 x 367 x 969 x 386 x 409 = 22120588447788

Therefore, the lowest common multiple of 394,734,969,772,409 is 22120588447788.

LCM Formula to Find Lowest Common Multiple of 394,734,969,772,409

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.

394 x 734 x 969 x 772 x 409 = 88482353791152

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.

394 : 1, 2, 197, 394

734 : 1, 2, 367, 734

969 : 1, 3, 17, 19, 51, 57, 323, 969

772 : 1, 2, 4, 193, 386, 772

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,734,969,772,409, is 1.

Now, the common factors can be found like this.

394:2x 197

734:2x 367

969:3x 17x 19

772:2x 2x 193

409:409

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 = 88482353791152/(1x4)

LCM = 88482353791152/4

LCM = 22120588447788

Thus, we can understand that the LCM of 394,734,969,772,409 is 22120588447788.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 734, 969, 772, 409

1. What is the LCM of 394, 734, 969, 772, 409?

Answer: LCM of 394, 734, 969, 772, 409 is 22120588447788.

2. How to calculate the LCM of 394, 734, 969, 772, 409?

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 394, 734, 969, 772, 409.

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}.