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LCM of 781, 351, 149, 939, 125

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


Find the LCM of 781, 351, 149, 939, 125 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 781, 351, 149, 939, 125. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,351,149,939,125

Given numbers are 781,351,149,939,125

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

The LCM of 781,351,149,939,125 is 1598080930875.

Find LCM of 781,351,149,939,125 with Prime Factorization


3 781, 351, 149, 939, 125
781, 117, 149, 313, 125

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

3 x 781 x 117 x 149 x 313 x 125 = 1598080930875

Therefore, the lowest common multiple of 781,351,149,939,125 is 1598080930875.

LCM Formula to Find Lowest Common Multiple of 781,351,149,939,125

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.

781 x 351 x 149 x 939 x 125 = 4794242792625

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.

781 : 1, 11, 71, 781

351 : 1, 3, 9, 13, 27, 39, 117, 351

149 : 1, 149

939 : 1, 3, 313, 939

125 : 1, 5, 25, 125

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,351,149,939,125, is 1.

Now, the common factors can be found like this.

781:11x 71

351:3x 3x 3x 13

149:149

939:3x 313

125:5x 5x 5

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4794242792625/(1x3)

LCM = 4794242792625/3

LCM = 1598080930875

Thus, we can understand that the LCM of 781,351,149,939,125 is 1598080930875.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 351, 149, 939, 125

1. What is the LCM of 781, 351, 149, 939, 125?

Answer: LCM of 781, 351, 149, 939, 125 is 1598080930875.

2. How to calculate the LCM of 781, 351, 149, 939, 125?

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 781, 351, 149, 939, 125.

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}.