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 105, 962, 862, 961

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


Find the LCM of 105, 962, 862, 961 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 105, 962, 862, 961. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 105,962,862,961

Given numbers are 105,962,862,961

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

The LCM of 105,962,862,961 is 41837432910.

Find LCM of 105,962,862,961 with Prime Factorization


2 105, 962, 862, 961
105, 481, 431, 961

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

2 x 105 x 481 x 431 x 961 = 41837432910

Therefore, the lowest common multiple of 105,962,862,961 is 41837432910.

LCM Formula to Find Lowest Common Multiple of 105,962,862,961

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.

105 x 962 x 862 x 961 = 83674865820

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

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

862 : 1, 2, 431, 862

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,962,862,961, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

962:2x 13x 37

862:2x 431

961:31x 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 = 83674865820/(1x2)

LCM = 83674865820/2

LCM = 41837432910

Thus, we can understand that the LCM of 105,962,862,961 is 41837432910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 105, 962, 862, 961

1. What is the LCM of 105, 962, 862, 961?

Answer: LCM of 105, 962, 862, 961 is 41837432910.

2. How to calculate the LCM of 105, 962, 862, 961?

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 105, 962, 862, 961.

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}.