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LCM of 581, 979, 110

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


Find the LCM of 581, 979, 110 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 581, 979, 110. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 581,979,110

Given numbers are 581,979,110

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

The LCM of 581,979,110 is 5687990.

Find LCM of 581,979,110 with Prime Factorization


11 581, 979, 110
581, 89, 10

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

11 x 581 x 89 x 10 = 5687990

Therefore, the lowest common multiple of 581,979,110 is 5687990.

LCM Formula to Find Lowest Common Multiple of 581,979,110

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.

581 x 979 x 110 = 62567890

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.

581 : 1, 7, 83, 581

979 : 1, 11, 89, 979

110 : 1, 2, 5, 10, 11, 22, 55, 110

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 581,979,110, is 1.

Now, the common factors can be found like this.

581:7x 83

979:11x 89

110:2x 5x 11

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 = 62567890/(1x11)

LCM = 62567890/11

LCM = 5687990

Thus, we can understand that the LCM of 581,979,110 is 5687990.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 581, 979, 110

1. What is the LCM of 581, 979, 110?

Answer: LCM of 581, 979, 110 is 5687990.

2. How to calculate the LCM of 581, 979, 110?

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 581, 979, 110.

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}.