LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 565, 135, 765, 962

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


Find the LCM of 565, 135, 765, 962 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 565, 135, 765, 962. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,135,765,962

Given numbers are 565,135,765,962

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

The LCM of 565,135,765,962 is 249480270.

Find LCM of 565,135,765,962 with Prime Factorization


3 565, 135, 765, 962
3 565, 45, 255, 962
5 565, 15, 85, 962
113, 3, 17, 962

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

3 x 3 x 5 x 113 x 3 x 17 x 962 = 249480270

Therefore, the lowest common multiple of 565,135,765,962 is 249480270.

LCM Formula to Find Lowest Common Multiple of 565,135,765,962

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.

565 x 135 x 765 x 962 = 56133060750

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.

565 : 1, 5, 113, 565

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,135,765,962, is 1.

Now, the common factors can be found like this.

565:5x 113

135:3x 3x 3x 5

765:3x 3x 5x 17

962:2x 13x 37

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

3x 3x 5x 5 = 225

Therefore, the value for common factors is 225.

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 = 56133060750/(1x225)

LCM = 56133060750/225

LCM = 249480270

Thus, we can understand that the LCM of 565,135,765,962 is 249480270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 135, 765, 962

1. What is the LCM of 565, 135, 765, 962?

Answer: LCM of 565, 135, 765, 962 is 249480270.

2. How to calculate the LCM of 565, 135, 765, 962?

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 565, 135, 765, 962.

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}.