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LCM of 755, 145, 815, 796

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


Find the LCM of 755, 145, 815, 796 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 755, 145, 815, 796. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 755,145,815,796

Given numbers are 755,145,815,796

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

The LCM of 755,145,815,796 is 2840832460.

Find LCM of 755,145,815,796 with Prime Factorization


5 755, 145, 815, 796
151, 29, 163, 796

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

5 x 151 x 29 x 163 x 796 = 2840832460

Therefore, the lowest common multiple of 755,145,815,796 is 2840832460.

LCM Formula to Find Lowest Common Multiple of 755,145,815,796

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.

755 x 145 x 815 x 796 = 71020811500

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.

755 : 1, 5, 151, 755

145 : 1, 5, 29, 145

815 : 1, 5, 163, 815

796 : 1, 2, 4, 199, 398, 796

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,145,815,796, is 1.

Now, the common factors can be found like this.

755:5x 151

145:5x 29

815:5x 163

796:2x 2x 199

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 71020811500/(1x25)

LCM = 71020811500/25

LCM = 2840832460

Thus, we can understand that the LCM of 755,145,815,796 is 2840832460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 755, 145, 815, 796

1. What is the LCM of 755, 145, 815, 796?

Answer: LCM of 755, 145, 815, 796 is 2840832460.

2. How to calculate the LCM of 755, 145, 815, 796?

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 755, 145, 815, 796.

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}.