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LCM of 361, 407, 341, 984, 419

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


Find the LCM of 361, 407, 341, 984, 419 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 361, 407, 341, 984, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,407,341,984,419

Given numbers are 361,407,341,984,419

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

The LCM of 361,407,341,984,419 is 1877899846152.

Find LCM of 361,407,341,984,419 with Prime Factorization


11 361, 407, 341, 984, 419
361, 37, 31, 984, 419

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

11 x 361 x 37 x 31 x 984 x 419 = 1877899846152

Therefore, the lowest common multiple of 361,407,341,984,419 is 1877899846152.

LCM Formula to Find Lowest Common Multiple of 361,407,341,984,419

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.

361 x 407 x 341 x 984 x 419 = 20656898307672

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.

361 : 1, 19, 361

407 : 1, 11, 37, 407

341 : 1, 11, 31, 341

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,407,341,984,419, is 1.

Now, the common factors can be found like this.

361:19x 19

407:11x 37

341:11x 31

984:2x 2x 2x 3x 41

419:419

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 20656898307672/(1x11)

LCM = 20656898307672/11

LCM = 1877899846152

Thus, we can understand that the LCM of 361,407,341,984,419 is 1877899846152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 407, 341, 984, 419

1. What is the LCM of 361, 407, 341, 984, 419?

Answer: LCM of 361, 407, 341, 984, 419 is 1877899846152.

2. How to calculate the LCM of 361, 407, 341, 984, 419?

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 361, 407, 341, 984, 419.

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}.