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 962, 104, 109, 754, 844

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


Find the LCM of 962, 104, 109, 754, 844 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 962, 104, 109, 754, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 962,104,109,754,844

Given numbers are 962,104,109,754,844

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

The LCM of 962,104,109,754,844 is 2566504408.

Find LCM of 962,104,109,754,844 with Prime Factorization


2 962, 104, 109, 754, 844
2 481, 52, 109, 377, 422
13 481, 26, 109, 377, 211
37, 2, 109, 29, 211

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

2 x 2 x 13 x 37 x 2 x 109 x 29 x 211 = 2566504408

Therefore, the lowest common multiple of 962,104,109,754,844 is 2566504408.

LCM Formula to Find Lowest Common Multiple of 962,104,109,754,844

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.

962 x 104 x 109 x 754 x 844 = 6939827919232

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

109 : 1, 109

754 : 1, 2, 13, 26, 29, 58, 377, 754

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,104,109,754,844, is 1.

Now, the common factors can be found like this.

962:2x 13x 37

104:2x 2x 2x 13

109:109

754:2x 13x 29

844:2x 2x 211

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

2x 2x 2x 2x 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 6939827919232/(1x2704)

LCM = 6939827919232/2704

LCM = 2566504408

Thus, we can understand that the LCM of 962,104,109,754,844 is 2566504408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 962, 104, 109, 754, 844

1. What is the LCM of 962, 104, 109, 754, 844?

Answer: LCM of 962, 104, 109, 754, 844 is 2566504408.

2. How to calculate the LCM of 962, 104, 109, 754, 844?

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 962, 104, 109, 754, 844.

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}.