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LCM of 582, 941, 762, 577

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


Find the LCM of 582, 941, 762, 577 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 582, 941, 762, 577. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,941,762,577

Given numbers are 582,941,762,577

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

The LCM of 582,941,762,577 is 40132123698.

Find LCM of 582,941,762,577 with Prime Factorization


2 582, 941, 762, 577
3 291, 941, 381, 577
97, 941, 127, 577

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

2 x 3 x 97 x 941 x 127 x 577 = 40132123698

Therefore, the lowest common multiple of 582,941,762,577 is 40132123698.

LCM Formula to Find Lowest Common Multiple of 582,941,762,577

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.

582 x 941 x 762 x 577 = 240792742188

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

941 : 1, 941

762 : 1, 2, 3, 6, 127, 254, 381, 762

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,941,762,577, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

941:941

762:2x 3x 127

577:577

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 240792742188/(1x6)

LCM = 240792742188/6

LCM = 40132123698

Thus, we can understand that the LCM of 582,941,762,577 is 40132123698.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 582, 941, 762, 577

1. What is the LCM of 582, 941, 762, 577?

Answer: LCM of 582, 941, 762, 577 is 40132123698.

2. How to calculate the LCM of 582, 941, 762, 577?

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 582, 941, 762, 577.

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}.