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LCM of 205, 707, 724, 713, 838

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


Find the LCM of 205, 707, 724, 713, 838 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 205, 707, 724, 713, 838. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 205,707,724,713,838

Given numbers are 205,707,724,713,838

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

The LCM of 205,707,724,713,838 is 31348401026180.

Find LCM of 205,707,724,713,838 with Prime Factorization


2 205, 707, 724, 713, 838
205, 707, 362, 713, 419

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

2 x 205 x 707 x 362 x 713 x 419 = 31348401026180

Therefore, the lowest common multiple of 205,707,724,713,838 is 31348401026180.

LCM Formula to Find Lowest Common Multiple of 205,707,724,713,838

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.

205 x 707 x 724 x 713 x 838 = 62696802052360

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.

205 : 1, 5, 41, 205

707 : 1, 7, 101, 707

724 : 1, 2, 4, 181, 362, 724

713 : 1, 23, 31, 713

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,707,724,713,838, is 1.

Now, the common factors can be found like this.

205:5x 41

707:7x 101

724:2x 2x 181

713:23x 31

838:2x 419

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

2 = 2

Therefore, the value for common factors is 2.

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 = 62696802052360/(1x2)

LCM = 62696802052360/2

LCM = 31348401026180

Thus, we can understand that the LCM of 205,707,724,713,838 is 31348401026180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 205, 707, 724, 713, 838

1. What is the LCM of 205, 707, 724, 713, 838?

Answer: LCM of 205, 707, 724, 713, 838 is 31348401026180.

2. How to calculate the LCM of 205, 707, 724, 713, 838?

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 205, 707, 724, 713, 838.

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}.