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LCM of 939, 408, 701, 701

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


Find the LCM of 939, 408, 701, 701 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, 408, 701, 701. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,408,701,701

Given numbers are 939,408,701,701

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

The LCM of 939,408,701,701 is 89520504.

Find LCM of 939,408,701,701 with Prime Factorization


3 939, 408, 701, 701
701 313, 136, 701, 701
313, 136, 1, 1

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

3 x 701 x 313 x 136 x 1 x 1 = 89520504

Therefore, the lowest common multiple of 939,408,701,701 is 89520504.

LCM Formula to Find Lowest Common Multiple of 939,408,701,701

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 408 x 701 x 701 = 188261619912

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

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

701 : 1, 701

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,408,701,701, is 1.

Now, the common factors can be found like this.

939:3x 313

408:2x 2x 2x 3x 17

701:701

701:701

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

3x 701 = 2103

Therefore, the value for common factors is 2103.

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 = 188261619912/(1x2103)

LCM = 188261619912/2103

LCM = 89520504

Thus, we can understand that the LCM of 939,408,701,701 is 89520504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 408, 701, 701

1. What is the LCM of 939, 408, 701, 701?

Answer: LCM of 939, 408, 701, 701 is 89520504.

2. How to calculate the LCM of 939, 408, 701, 701?

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, 408, 701, 701.

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}.