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LCM of 731, 755, 820, 795

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


Find the LCM of 731, 755, 820, 795 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 731, 755, 820, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,755,820,795

Given numbers are 731,755,820,795

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

The LCM of 731,755,820,795 is 14391474780.

Find LCM of 731,755,820,795 with Prime Factorization


5 731, 755, 820, 795
731, 151, 164, 159

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

5 x 731 x 151 x 164 x 159 = 14391474780

Therefore, the lowest common multiple of 731,755,820,795 is 14391474780.

LCM Formula to Find Lowest Common Multiple of 731,755,820,795

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.

731 x 755 x 820 x 795 = 359786869500

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.

731 : 1, 17, 43, 731

755 : 1, 5, 151, 755

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

795 : 1, 3, 5, 15, 53, 159, 265, 795

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,755,820,795, is 1.

Now, the common factors can be found like this.

731:17x 43

755:5x 151

820:2x 2x 5x 41

795:3x 5x 53

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 = 359786869500/(1x25)

LCM = 359786869500/25

LCM = 14391474780

Thus, we can understand that the LCM of 731,755,820,795 is 14391474780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 755, 820, 795

1. What is the LCM of 731, 755, 820, 795?

Answer: LCM of 731, 755, 820, 795 is 14391474780.

2. How to calculate the LCM of 731, 755, 820, 795?

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 731, 755, 820, 795.

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}.