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LCM of 939, 939, 713, 630

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


Find the LCM of 939, 939, 713, 630 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, 939, 713, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 939,939,713,630

Given numbers are 939,939,713,630

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

The LCM of 939,939,713,630 is 140596470.

Find LCM of 939,939,713,630 with Prime Factorization


3 939, 939, 713, 630
313 313, 313, 713, 210
1, 1, 713, 210

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

3 x 313 x 1 x 1 x 713 x 210 = 140596470

Therefore, the lowest common multiple of 939,939,713,630 is 140596470.

LCM Formula to Find Lowest Common Multiple of 939,939,713,630

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 939 x 713 x 630 = 396060255990

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

939 : 1, 3, 313, 939

713 : 1, 23, 31, 713

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,939,713,630, is 1.

Now, the common factors can be found like this.

939:3x 313

939:3x 313

713:23x 31

630:2x 3x 3x 5x 7

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

3x 3x 313 = 2817

Therefore, the value for common factors is 2817.

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 = 396060255990/(1x2817)

LCM = 396060255990/2817

LCM = 140596470

Thus, we can understand that the LCM of 939,939,713,630 is 140596470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 939, 939, 713, 630

1. What is the LCM of 939, 939, 713, 630?

Answer: LCM of 939, 939, 713, 630 is 140596470.

2. How to calculate the LCM of 939, 939, 713, 630?

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, 939, 713, 630.

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}.