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LCM of 782, 722, 682, 936

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


Find the LCM of 782, 722, 682, 936 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 782, 722, 682, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,722,682,936

Given numbers are 782,722,682,936

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

The LCM of 782,722,682,936 is 45052011576.

Find LCM of 782,722,682,936 with Prime Factorization


2 782, 722, 682, 936
391, 361, 341, 468

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

2 x 391 x 361 x 341 x 468 = 45052011576

Therefore, the lowest common multiple of 782,722,682,936 is 45052011576.

LCM Formula to Find Lowest Common Multiple of 782,722,682,936

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.

782 x 722 x 682 x 936 = 360416092608

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

722 : 1, 2, 19, 38, 361, 722

682 : 1, 2, 11, 22, 31, 62, 341, 682

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,722,682,936, is 2.

Now, the common factors can be found like this.

782:2x 17x 23

722:2x 19x 19

682:2x 11x 31

936:2x 2x 2x 3x 3x 13

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 = 360416092608/(2x4)

LCM = 360416092608/8

LCM = 45052011576

Thus, we can understand that the LCM of 782,722,682,936 is 45052011576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 782, 722, 682, 936

1. What is the LCM of 782, 722, 682, 936?

Answer: LCM of 782, 722, 682, 936 is 45052011576.

2. How to calculate the LCM of 782, 722, 682, 936?

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 782, 722, 682, 936.

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}.