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LCM of 731, 489, 937, 930

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


Find the LCM of 731, 489, 937, 930 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 731, 489, 937, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 731,489,937,930

Given numbers are 731,489,937,930

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

The LCM of 731,489,937,930 is 103831115730.

Find LCM of 731,489,937,930 with Prime Factorization


3 731, 489, 937, 930
731, 163, 937, 310

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

3 x 731 x 163 x 937 x 310 = 103831115730

Therefore, the lowest common multiple of 731,489,937,930 is 103831115730.

LCM Formula to Find Lowest Common Multiple of 731,489,937,930

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.

731 x 489 x 937 x 930 = 311493347190

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.

731 : 1, 17, 43, 731

489 : 1, 3, 163, 489

937 : 1, 937

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,489,937,930, is 1.

Now, the common factors can be found like this.

731:17x 43

489:3x 163

937:937

930:2x 3x 5x 31

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 = 311493347190/(1x3)

LCM = 311493347190/3

LCM = 103831115730

Thus, we can understand that the LCM of 731,489,937,930 is 103831115730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 731, 489, 937, 930

1. What is the LCM of 731, 489, 937, 930?

Answer: LCM of 731, 489, 937, 930 is 103831115730.

2. How to calculate the LCM of 731, 489, 937, 930?

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 731, 489, 937, 930.

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}.