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LCM of 705, 689, 167, 205, 782

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


Find the LCM of 705, 689, 167, 205, 782 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 705, 689, 167, 205, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,689,167,205,782

Given numbers are 705,689,167,205,782

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

The LCM of 705,689,167,205,782 is 2600850683730.

Find LCM of 705,689,167,205,782 with Prime Factorization


5 705, 689, 167, 205, 782
141, 689, 167, 41, 782

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

5 x 141 x 689 x 167 x 41 x 782 = 2600850683730

Therefore, the lowest common multiple of 705,689,167,205,782 is 2600850683730.

LCM Formula to Find Lowest Common Multiple of 705,689,167,205,782

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.

705 x 689 x 167 x 205 x 782 = 13004253418650

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

689 : 1, 13, 53, 689

167 : 1, 167

205 : 1, 5, 41, 205

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,689,167,205,782, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

689:13x 53

167:167

205:5x 41

782:2x 17x 23

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

5 = 5

Therefore, the value for common factors is 5.

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 = 13004253418650/(1x5)

LCM = 13004253418650/5

LCM = 2600850683730

Thus, we can understand that the LCM of 705,689,167,205,782 is 2600850683730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 689, 167, 205, 782

1. What is the LCM of 705, 689, 167, 205, 782?

Answer: LCM of 705, 689, 167, 205, 782 is 2600850683730.

2. How to calculate the LCM of 705, 689, 167, 205, 782?

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 705, 689, 167, 205, 782.

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}.