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 986, 695, 646, 961, 275

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


Find the LCM of 986, 695, 646, 961, 275 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 986, 695, 646, 961, 275. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 986,695,646,961,275

Given numbers are 986,695,646,961,275

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

The LCM of 986,695,646,961,275 is 688178971150.

Find LCM of 986,695,646,961,275 with Prime Factorization


2 986, 695, 646, 961, 275
5 493, 695, 323, 961, 275
17 493, 139, 323, 961, 55
29, 139, 19, 961, 55

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

2 x 5 x 17 x 29 x 139 x 19 x 961 x 55 = 688178971150

Therefore, the lowest common multiple of 986,695,646,961,275 is 688178971150.

LCM Formula to Find Lowest Common Multiple of 986,695,646,961,275

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.

986 x 695 x 646 x 961 x 275 = 116990425095500

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

695 : 1, 5, 139, 695

646 : 1, 2, 17, 19, 34, 38, 323, 646

961 : 1, 31, 961

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,695,646,961,275, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

695:5x 139

646:2x 17x 19

961:31x 31

275:5x 5x 11

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

2x 5x 17 = 170

Therefore, the value for common factors is 170.

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 = 116990425095500/(1x170)

LCM = 116990425095500/170

LCM = 688178971150

Thus, we can understand that the LCM of 986,695,646,961,275 is 688178971150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 986, 695, 646, 961, 275

1. What is the LCM of 986, 695, 646, 961, 275?

Answer: LCM of 986, 695, 646, 961, 275 is 688178971150.

2. How to calculate the LCM of 986, 695, 646, 961, 275?

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 986, 695, 646, 961, 275.

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}.