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LCM of 582, 834, 776

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


Find the LCM of 582, 834, 776 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, 834, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 582,834,776

Given numbers are 582,834,776

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

The LCM of 582,834,776 is 323592.

Find LCM of 582,834,776 with Prime Factorization


2 582, 834, 776
3 291, 417, 388
97 97, 139, 388
1, 139, 4

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

2 x 3 x 97 x 1 x 139 x 4 = 323592

Therefore, the lowest common multiple of 582,834,776 is 323592.

LCM Formula to Find Lowest Common Multiple of 582,834,776

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 834 x 776 = 376661088

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

834 : 1, 2, 3, 6, 139, 278, 417, 834

776 : 1, 2, 4, 8, 97, 194, 388, 776

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,834,776, is 2.

Now, the common factors can be found like this.

582:2x 3x 97

834:2x 3x 139

776:2x 2x 2x 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 3x 97 = 582

Therefore, the value for common factors is 582.

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 = 376661088/(2x582)

LCM = 376661088/1164

LCM = 323592

Thus, we can understand that the LCM of 582,834,776 is 323592.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 582, 834, 776

1. What is the LCM of 582, 834, 776?

Answer: LCM of 582, 834, 776 is 323592.

2. How to calculate the LCM of 582, 834, 776?

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, 834, 776.

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}.