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LCM of 904, 341, 862, 734, 409

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


Find the LCM of 904, 341, 862, 734, 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 904, 341, 862, 734, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 904,341,862,734,409

Given numbers are 904,341,862,734,409

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

The LCM of 904,341,862,734,409 is 19942952363752.

Find LCM of 904,341,862,734,409 with Prime Factorization


2 904, 341, 862, 734, 409
452, 341, 431, 367, 409

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

2 x 452 x 341 x 431 x 367 x 409 = 19942952363752

Therefore, the lowest common multiple of 904,341,862,734,409 is 19942952363752.

LCM Formula to Find Lowest Common Multiple of 904,341,862,734,409

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.

904 x 341 x 862 x 734 x 409 = 79771809455008

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

341 : 1, 11, 31, 341

862 : 1, 2, 431, 862

734 : 1, 2, 367, 734

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,341,862,734,409, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

341:11x 31

862:2x 431

734:2x 367

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 = 79771809455008/(1x4)

LCM = 79771809455008/4

LCM = 19942952363752

Thus, we can understand that the LCM of 904,341,862,734,409 is 19942952363752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 904, 341, 862, 734, 409

1. What is the LCM of 904, 341, 862, 734, 409?

Answer: LCM of 904, 341, 862, 734, 409 is 19942952363752.

2. How to calculate the LCM of 904, 341, 862, 734, 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 904, 341, 862, 734, 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}.