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LCM of 569, 544, 727, 490, 997

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


Find the LCM of 569, 544, 727, 490, 997 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 569, 544, 727, 490, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,544,727,490,997

Given numbers are 569,544,727,490,997

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

The LCM of 569,544,727,490,997 is 54967605626080.

Find LCM of 569,544,727,490,997 with Prime Factorization


2 569, 544, 727, 490, 997
569, 272, 727, 245, 997

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

2 x 569 x 272 x 727 x 245 x 997 = 54967605626080

Therefore, the lowest common multiple of 569,544,727,490,997 is 54967605626080.

LCM Formula to Find Lowest Common Multiple of 569,544,727,490,997

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.

569 x 544 x 727 x 490 x 997 = 109935211252160

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.

569 : 1, 569

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

727 : 1, 727

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,544,727,490,997, is 1.

Now, the common factors can be found like this.

569:569

544:2x 2x 2x 2x 2x 17

727:727

490:2x 5x 7x 7

997:997

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 = 109935211252160/(1x2)

LCM = 109935211252160/2

LCM = 54967605626080

Thus, we can understand that the LCM of 569,544,727,490,997 is 54967605626080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 544, 727, 490, 997

1. What is the LCM of 569, 544, 727, 490, 997?

Answer: LCM of 569, 544, 727, 490, 997 is 54967605626080.

2. How to calculate the LCM of 569, 544, 727, 490, 997?

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 569, 544, 727, 490, 997.

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}.