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LCM of 728, 770, 458, 682

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


Find the LCM of 728, 770, 458, 682 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 728, 770, 458, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 728,770,458,682

Given numbers are 728,770,458,682

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

The LCM of 728,770,458,682 is 284243960.

Find LCM of 728,770,458,682 with Prime Factorization


2 728, 770, 458, 682
7 364, 385, 229, 341
11 52, 55, 229, 341
52, 5, 229, 31

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

2 x 7 x 11 x 52 x 5 x 229 x 31 = 284243960

Therefore, the lowest common multiple of 728,770,458,682 is 284243960.

LCM Formula to Find Lowest Common Multiple of 728,770,458,682

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.

728 x 770 x 458 x 682 = 175094279360

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

458 : 1, 2, 229, 458

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,770,458,682, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

770:2x 5x 7x 11

458:2x 229

682:2x 11x 31

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 7x 11 = 308

Therefore, the value for common factors is 308.

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 = 175094279360/(2x308)

LCM = 175094279360/616

LCM = 284243960

Thus, we can understand that the LCM of 728,770,458,682 is 284243960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 728, 770, 458, 682

1. What is the LCM of 728, 770, 458, 682?

Answer: LCM of 728, 770, 458, 682 is 284243960.

2. How to calculate the LCM of 728, 770, 458, 682?

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 728, 770, 458, 682.

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}.