LCM of 932, 378, 611, 637, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 378, 611, 637, 376 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 932, 378, 611, 637, 376. So, keep reading to learn more.
Given numbers are 932,378,611,637,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,378,611,637,376 is 1506769992.
Find LCM of 932,378,611,637,376 with Prime Factorization
| 2 | 932, 378, 611, 637, 376 |
| 2 | 466, 189, 611, 637, 188 |
| 7 | 233, 189, 611, 637, 94 |
| 13 | 233, 27, 611, 91, 94 |
| 47 | 233, 27, 47, 7, 94 |
| 233, 27, 1, 7, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 47 x 233 x 27 x 1 x 7 x 2 = 1506769992
Therefore, the lowest common multiple of 932,378,611,637,376 is 1506769992.
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.
932 x 378 x 611 x 637 x 376 = 51555642046272
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.
932 : 1, 2, 4, 233, 466, 932
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
611 : 1, 13, 47, 611
637 : 1, 7, 13, 49, 91, 637
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,378,611,637,376, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
378:2x 3x 3x 3x 7
611:13x 47
637:7x 7x 13
376:2x 2x 2x 47
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 7x 13x 47 = 34216
Therefore, the value for common factors is 34216.
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 = 51555642046272/(1x34216)
LCM = 51555642046272/34216
LCM = 1506769992
Thus, we can understand that the LCM of 932,378,611,637,376 is 1506769992.
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FAQs on LCM of 932, 378, 611, 637, 376
1. What is the LCM of 932, 378, 611, 637, 376?
Answer: LCM of 932, 378, 611, 637, 376 is 1506769992.
2. How to calculate the LCM of 932, 378, 611, 637, 376?
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 932, 378, 611, 637, 376.
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}.