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LCM of 860, 165, 690, 765, 721

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


Find the LCM of 860, 165, 690, 765, 721 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 860, 165, 690, 765, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 860,165,690,765,721

Given numbers are 860,165,690,765,721

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

The LCM of 860,165,690,765,721 is 24001902540.

Find LCM of 860,165,690,765,721 with Prime Factorization


2 860, 165, 690, 765, 721
3 430, 165, 345, 765, 721
5 430, 55, 115, 255, 721
86, 11, 23, 51, 721

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

2 x 3 x 5 x 86 x 11 x 23 x 51 x 721 = 24001902540

Therefore, the lowest common multiple of 860,165,690,765,721 is 24001902540.

LCM Formula to Find Lowest Common Multiple of 860,165,690,765,721

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.

860 x 165 x 690 x 765 x 721 = 54004280715000

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.

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

165 : 1, 3, 5, 11, 15, 33, 55, 165

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,165,690,765,721, is 1.

Now, the common factors can be found like this.

860:2x 2x 5x 43

165:3x 5x 11

690:2x 3x 5x 23

765:3x 3x 5x 17

721:7x 103

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

2x 3x 3x 5x 5x 5 = 2250

Therefore, the value for common factors is 2250.

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 = 54004280715000/(1x2250)

LCM = 54004280715000/2250

LCM = 24001902540

Thus, we can understand that the LCM of 860,165,690,765,721 is 24001902540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 860, 165, 690, 765, 721

1. What is the LCM of 860, 165, 690, 765, 721?

Answer: LCM of 860, 165, 690, 765, 721 is 24001902540.

2. How to calculate the LCM of 860, 165, 690, 765, 721?

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 860, 165, 690, 765, 721.

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}.