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 964, 946, 858, 839

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


Find the LCM of 964, 946, 858, 839 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 964, 946, 858, 839. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,946,858,839

Given numbers are 964,946,858,839

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

The LCM of 964,946,858,839 is 14919859812.

Find LCM of 964,946,858,839 with Prime Factorization


2 964, 946, 858, 839
11 482, 473, 429, 839
482, 43, 39, 839

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

2 x 11 x 482 x 43 x 39 x 839 = 14919859812

Therefore, the lowest common multiple of 964,946,858,839 is 14919859812.

LCM Formula to Find Lowest Common Multiple of 964,946,858,839

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.

964 x 946 x 858 x 839 = 656473831728

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.

964 : 1, 2, 4, 241, 482, 964

946 : 1, 2, 11, 22, 43, 86, 473, 946

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

839 : 1, 839

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,946,858,839, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

946:2x 11x 43

858:2x 3x 11x 13

839:839

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 11 = 44

Therefore, the value for common factors is 44.

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 = 656473831728/(1x44)

LCM = 656473831728/44

LCM = 14919859812

Thus, we can understand that the LCM of 964,946,858,839 is 14919859812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 946, 858, 839

1. What is the LCM of 964, 946, 858, 839?

Answer: LCM of 964, 946, 858, 839 is 14919859812.

2. How to calculate the LCM of 964, 946, 858, 839?

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 964, 946, 858, 839.

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}.