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 768, 526, 961, 665

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


Find the LCM of 768, 526, 961, 665 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 768, 526, 961, 665. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,526,961,665

Given numbers are 768,526,961,665

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

The LCM of 768,526,961,665 is 129080904960.

Find LCM of 768,526,961,665 with Prime Factorization


2 768, 526, 961, 665
384, 263, 961, 665

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

2 x 384 x 263 x 961 x 665 = 129080904960

Therefore, the lowest common multiple of 768,526,961,665 is 129080904960.

LCM Formula to Find Lowest Common Multiple of 768,526,961,665

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.

768 x 526 x 961 x 665 = 258161809920

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

526 : 1, 2, 263, 526

961 : 1, 31, 961

665 : 1, 5, 7, 19, 35, 95, 133, 665

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,526,961,665, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

526:2x 263

961:31x 31

665:5x 7x 19

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 = 258161809920/(1x2)

LCM = 258161809920/2

LCM = 129080904960

Thus, we can understand that the LCM of 768,526,961,665 is 129080904960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 526, 961, 665

1. What is the LCM of 768, 526, 961, 665?

Answer: LCM of 768, 526, 961, 665 is 129080904960.

2. How to calculate the LCM of 768, 526, 961, 665?

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 768, 526, 961, 665.

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}.