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LCM of 939, 477, 438, 954

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


Find the LCM of 939, 477, 438, 954 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 939, 477, 438, 954. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,477,438,954

Given numbers are 939,477,438,954

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

The LCM of 939,477,438,954 is 21797946.

Find LCM of 939,477,438,954 with Prime Factorization


2 939, 477, 438, 954
3 939, 477, 219, 477
3 313, 159, 73, 159
53 313, 53, 73, 53
313, 1, 73, 1

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

2 x 3 x 3 x 53 x 313 x 1 x 73 x 1 = 21797946

Therefore, the lowest common multiple of 939,477,438,954 is 21797946.

LCM Formula to Find Lowest Common Multiple of 939,477,438,954

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.

939 x 477 x 438 x 954 = 187157164356

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.

939 : 1, 3, 313, 939

477 : 1, 3, 9, 53, 159, 477

438 : 1, 2, 3, 6, 73, 146, 219, 438

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,477,438,954, is 3.

Now, the common factors can be found like this.

939:3x 313

477:3x 3x 53

438:2x 3x 73

954:2x 3x 3x 53

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

2x 3x 3x 3x 53 = 2862

Therefore, the value for common factors is 2862.

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 = 187157164356/(3x2862)

LCM = 187157164356/8586

LCM = 21797946

Thus, we can understand that the LCM of 939,477,438,954 is 21797946.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 477, 438, 954

1. What is the LCM of 939, 477, 438, 954?

Answer: LCM of 939, 477, 438, 954 is 21797946.

2. How to calculate the LCM of 939, 477, 438, 954?

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 939, 477, 438, 954.

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}.