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LCM of 944, 989, 989, 391, 930

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


Find the LCM of 944, 989, 989, 391, 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 944, 989, 989, 391, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 944,989,989,391,930

Given numbers are 944,989,989,391,930

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

The LCM of 944,989,989,391,930 is 7380234480.

Find LCM of 944,989,989,391,930 with Prime Factorization


2 944, 989, 989, 391, 930
23 472, 989, 989, 391, 465
43 472, 43, 43, 17, 465
472, 1, 1, 17, 465

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

2 x 23 x 43 x 472 x 1 x 1 x 17 x 465 = 7380234480

Therefore, the lowest common multiple of 944,989,989,391,930 is 7380234480.

LCM Formula to Find Lowest Common Multiple of 944,989,989,391,930

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.

944 x 989 x 989 x 391 x 930 = 335756387433120

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

989 : 1, 23, 43, 989

989 : 1, 23, 43, 989

391 : 1, 17, 23, 391

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 944,989,989,391,930, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

989:23x 43

989:23x 43

391:17x 23

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.

2x 23x 23x 43 = 45494

Therefore, the value for common factors is 45494.

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 = 335756387433120/(1x45494)

LCM = 335756387433120/45494

LCM = 7380234480

Thus, we can understand that the LCM of 944,989,989,391,930 is 7380234480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 944, 989, 989, 391, 930

1. What is the LCM of 944, 989, 989, 391, 930?

Answer: LCM of 944, 989, 989, 391, 930 is 7380234480.

2. How to calculate the LCM of 944, 989, 989, 391, 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 944, 989, 989, 391, 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}.