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 946, 399, 429, 114, 304

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


Find the LCM of 946, 399, 429, 114, 304 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 946, 399, 429, 114, 304. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,399,429,114,304

Given numbers are 946,399,429,114,304

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

The LCM of 946,399,429,114,304 is 39255216.

Find LCM of 946,399,429,114,304 with Prime Factorization


2 946, 399, 429, 114, 304
3 473, 399, 429, 57, 152
11 473, 133, 143, 19, 152
19 43, 133, 13, 19, 152
43, 7, 13, 1, 8

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

2 x 3 x 11 x 19 x 43 x 7 x 13 x 1 x 8 = 39255216

Therefore, the lowest common multiple of 946,399,429,114,304 is 39255216.

LCM Formula to Find Lowest Common Multiple of 946,399,429,114,304

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.

946 x 399 x 429 x 114 x 304 = 5611768658496

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.

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

429 : 1, 3, 11, 13, 33, 39, 143, 429

114 : 1, 2, 3, 6, 19, 38, 57, 114

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,399,429,114,304, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

399:3x 7x 19

429:3x 11x 13

114:2x 3x 19

304:2x 2x 2x 2x 19

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 3x 3x 11x 19x 19 = 142956

Therefore, the value for common factors is 142956.

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 = 5611768658496/(1x142956)

LCM = 5611768658496/142956

LCM = 39255216

Thus, we can understand that the LCM of 946,399,429,114,304 is 39255216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 399, 429, 114, 304

1. What is the LCM of 946, 399, 429, 114, 304?

Answer: LCM of 946, 399, 429, 114, 304 is 39255216.

2. How to calculate the LCM of 946, 399, 429, 114, 304?

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 946, 399, 429, 114, 304.

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}.