LCM of 931, 566, 119, 378, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 566, 119, 378, 432 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 931, 566, 119, 378, 432. So, keep reading to learn more.
Given numbers are 931,566,119,378,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,566,119,378,432 is 1934945712.
Find LCM of 931,566,119,378,432 with Prime Factorization
| 2 | 931, 566, 119, 378, 432 |
| 3 | 931, 283, 119, 189, 216 |
| 3 | 931, 283, 119, 63, 72 |
| 3 | 931, 283, 119, 21, 24 |
| 7 | 931, 283, 119, 7, 8 |
| 133, 283, 17, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 133 x 283 x 17 x 1 x 8 = 1934945712
Therefore, the lowest common multiple of 931,566,119,378,432 is 1934945712.
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.
931 x 566 x 119 x 378 x 432 = 10239732707904
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.
931 : 1, 7, 19, 49, 133, 931
566 : 1, 2, 283, 566
119 : 1, 7, 17, 119
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,566,119,378,432, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
566:2x 283
119:7x 17
378:2x 3x 3x 3x 7
432:2x 2x 2x 2x 3x 3x 3
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 3x 3x 3x 7x 7 = 5292
Therefore, the value for common factors is 5292.
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 = 10239732707904/(1x5292)
LCM = 10239732707904/5292
LCM = 1934945712
Thus, we can understand that the LCM of 931,566,119,378,432 is 1934945712.
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FAQs on LCM of 931, 566, 119, 378, 432
1. What is the LCM of 931, 566, 119, 378, 432?
Answer: LCM of 931, 566, 119, 378, 432 is 1934945712.
2. How to calculate the LCM of 931, 566, 119, 378, 432?
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 931, 566, 119, 378, 432.
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}.