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LCM of 831, 785, 964, 770, 582

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


Find the LCM of 831, 785, 964, 770, 582 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 831, 785, 964, 770, 582. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,785,964,770,582

Given numbers are 831,785,964,770,582

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

The LCM of 831,785,964,770,582 is 4696887670860.

Find LCM of 831,785,964,770,582 with Prime Factorization


2 831, 785, 964, 770, 582
3 831, 785, 482, 385, 291
5 277, 785, 482, 385, 97
277, 157, 482, 77, 97

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

2 x 3 x 5 x 277 x 157 x 482 x 77 x 97 = 4696887670860

Therefore, the lowest common multiple of 831,785,964,770,582 is 4696887670860.

LCM Formula to Find Lowest Common Multiple of 831,785,964,770,582

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.

831 x 785 x 964 x 770 x 582 = 281813260251600

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.

831 : 1, 3, 277, 831

785 : 1, 5, 157, 785

964 : 1, 2, 4, 241, 482, 964

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,785,964,770,582, is 1.

Now, the common factors can be found like this.

831:3x 277

785:5x 157

964:2x 2x 241

770:2x 5x 7x 11

582:2x 3x 97

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 3x 5 = 60

Therefore, the value for common factors is 60.

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 = 281813260251600/(1x60)

LCM = 281813260251600/60

LCM = 4696887670860

Thus, we can understand that the LCM of 831,785,964,770,582 is 4696887670860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 785, 964, 770, 582

1. What is the LCM of 831, 785, 964, 770, 582?

Answer: LCM of 831, 785, 964, 770, 582 is 4696887670860.

2. How to calculate the LCM of 831, 785, 964, 770, 582?

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 831, 785, 964, 770, 582.

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}.