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LCM of 554, 568, 982, 426

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


Find the LCM of 554, 568, 982, 426 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 554, 568, 982, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,568,982,426

Given numbers are 554,568,982,426

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

The LCM of 554,568,982,426 is 231755928.

Find LCM of 554,568,982,426 with Prime Factorization


2 554, 568, 982, 426
71 277, 284, 491, 213
277, 4, 491, 3

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

2 x 71 x 277 x 4 x 491 x 3 = 231755928

Therefore, the lowest common multiple of 554,568,982,426 is 231755928.

LCM Formula to Find Lowest Common Multiple of 554,568,982,426

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.

554 x 568 x 982 x 426 = 131637367104

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.

554 : 1, 2, 277, 554

568 : 1, 2, 4, 8, 71, 142, 284, 568

982 : 1, 2, 491, 982

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,568,982,426, is 2.

Now, the common factors can be found like this.

554:2x 277

568:2x 2x 2x 71

982:2x 491

426:2x 3x 71

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

2x 2x 71 = 284

Therefore, the value for common factors is 284.

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 = 131637367104/(2x284)

LCM = 131637367104/568

LCM = 231755928

Thus, we can understand that the LCM of 554,568,982,426 is 231755928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 568, 982, 426

1. What is the LCM of 554, 568, 982, 426?

Answer: LCM of 554, 568, 982, 426 is 231755928.

2. How to calculate the LCM of 554, 568, 982, 426?

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 554, 568, 982, 426.

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}.