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 965, 878, 949, 827, 682

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


Find the LCM of 965, 878, 949, 827, 682 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 965, 878, 949, 827, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,878,949,827,682

Given numbers are 965,878,949,827,682

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

The LCM of 965,878,949,827,682 is 226750331274610.

Find LCM of 965,878,949,827,682 with Prime Factorization


2 965, 878, 949, 827, 682
965, 439, 949, 827, 341

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

2 x 965 x 439 x 949 x 827 x 341 = 226750331274610

Therefore, the lowest common multiple of 965,878,949,827,682 is 226750331274610.

LCM Formula to Find Lowest Common Multiple of 965,878,949,827,682

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.

965 x 878 x 949 x 827 x 682 = 453500662549220

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.

965 : 1, 5, 193, 965

878 : 1, 2, 439, 878

949 : 1, 13, 73, 949

827 : 1, 827

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,878,949,827,682, is 1.

Now, the common factors can be found like this.

965:5x 193

878:2x 439

949:13x 73

827:827

682:2x 11x 31

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 = 453500662549220/(1x2)

LCM = 453500662549220/2

LCM = 226750331274610

Thus, we can understand that the LCM of 965,878,949,827,682 is 226750331274610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 878, 949, 827, 682

1. What is the LCM of 965, 878, 949, 827, 682?

Answer: LCM of 965, 878, 949, 827, 682 is 226750331274610.

2. How to calculate the LCM of 965, 878, 949, 827, 682?

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 965, 878, 949, 827, 682.

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}.