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LCM of 930, 924, 546, 814, 391

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


Find the LCM of 930, 924, 546, 814, 391 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 930, 924, 546, 814, 391. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,924,546,814,391

Given numbers are 930,924,546,814,391

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

The LCM of 930,924,546,814,391 is 26935528620.

Find LCM of 930,924,546,814,391 with Prime Factorization


2 930, 924, 546, 814, 391
3 465, 462, 273, 407, 391
7 155, 154, 91, 407, 391
11 155, 22, 13, 407, 391
155, 2, 13, 37, 391

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

2 x 3 x 7 x 11 x 155 x 2 x 13 x 37 x 391 = 26935528620

Therefore, the lowest common multiple of 930,924,546,814,391 is 26935528620.

LCM Formula to Find Lowest Common Multiple of 930,924,546,814,391

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.

930 x 924 x 546 x 814 x 391 = 149330570669280

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

814 : 1, 2, 11, 22, 37, 74, 407, 814

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,924,546,814,391, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

924:2x 2x 3x 7x 11

546:2x 3x 7x 13

814:2x 11x 37

391:17x 23

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

2x 2x 2x 3x 3x 7x 11 = 5544

Therefore, the value for common factors is 5544.

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 = 149330570669280/(1x5544)

LCM = 149330570669280/5544

LCM = 26935528620

Thus, we can understand that the LCM of 930,924,546,814,391 is 26935528620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 924, 546, 814, 391

1. What is the LCM of 930, 924, 546, 814, 391?

Answer: LCM of 930, 924, 546, 814, 391 is 26935528620.

2. How to calculate the LCM of 930, 924, 546, 814, 391?

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 930, 924, 546, 814, 391.

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}.