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LCM of 341, 398, 534, 587

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


Find the LCM of 341, 398, 534, 587 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 341, 398, 534, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,398,534,587

Given numbers are 341,398,534,587

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

The LCM of 341,398,534,587 is 21270946422.

Find LCM of 341,398,534,587 with Prime Factorization


2 341, 398, 534, 587
341, 199, 267, 587

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

2 x 341 x 199 x 267 x 587 = 21270946422

Therefore, the lowest common multiple of 341,398,534,587 is 21270946422.

LCM Formula to Find Lowest Common Multiple of 341,398,534,587

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.

341 x 398 x 534 x 587 = 42541892844

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.

341 : 1, 11, 31, 341

398 : 1, 2, 199, 398

534 : 1, 2, 3, 6, 89, 178, 267, 534

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,398,534,587, is 1.

Now, the common factors can be found like this.

341:11x 31

398:2x 199

534:2x 3x 89

587:587

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

2 = 2

Therefore, the value for common factors is 2.

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 = 42541892844/(1x2)

LCM = 42541892844/2

LCM = 21270946422

Thus, we can understand that the LCM of 341,398,534,587 is 21270946422.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 398, 534, 587

1. What is the LCM of 341, 398, 534, 587?

Answer: LCM of 341, 398, 534, 587 is 21270946422.

2. How to calculate the LCM of 341, 398, 534, 587?

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 341, 398, 534, 587.

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}.