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LCM of 556, 581, 596, 241

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


Find the LCM of 556, 581, 596, 241 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 556, 581, 596, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 556,581,596,241

Given numbers are 556,581,596,241

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

The LCM of 556,581,596,241 is 11599899724.

Find LCM of 556,581,596,241 with Prime Factorization


2 556, 581, 596, 241
2 278, 581, 298, 241
139, 581, 149, 241

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

2 x 2 x 139 x 581 x 149 x 241 = 11599899724

Therefore, the lowest common multiple of 556,581,596,241 is 11599899724.

LCM Formula to Find Lowest Common Multiple of 556,581,596,241

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.

556 x 581 x 596 x 241 = 46399598896

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.

556 : 1, 2, 4, 139, 278, 556

581 : 1, 7, 83, 581

596 : 1, 2, 4, 149, 298, 596

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,581,596,241, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

581:7x 83

596:2x 2x 149

241:241

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 = 46399598896/(1x4)

LCM = 46399598896/4

LCM = 11599899724

Thus, we can understand that the LCM of 556,581,596,241 is 11599899724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 556, 581, 596, 241

1. What is the LCM of 556, 581, 596, 241?

Answer: LCM of 556, 581, 596, 241 is 11599899724.

2. How to calculate the LCM of 556, 581, 596, 241?

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 556, 581, 596, 241.

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}.