LCM of 372, 748, 376, 663, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 748, 376, 663, 923 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 372, 748, 376, 663, 923. So, keep reading to learn more.
Given numbers are 372,748,376,663,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,748,376,663,923 is 6035511768.
Find LCM of 372,748,376,663,923 with Prime Factorization
| 2 | 372, 748, 376, 663, 923 |
| 2 | 186, 374, 188, 663, 923 |
| 3 | 93, 187, 94, 663, 923 |
| 13 | 31, 187, 94, 221, 923 |
| 17 | 31, 187, 94, 17, 71 |
| 31, 11, 94, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 31 x 11 x 94 x 1 x 71 = 6035511768
Therefore, the lowest common multiple of 372,748,376,663,923 is 6035511768.
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.
372 x 748 x 376 x 663 x 923 = 64024708834944
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
376 : 1, 2, 4, 8, 47, 94, 188, 376
663 : 1, 3, 13, 17, 39, 51, 221, 663
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,748,376,663,923, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
748:2x 2x 11x 17
376:2x 2x 2x 47
663:3x 13x 17
923:13x 71
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 2x 3x 13x 17 = 10608
Therefore, the value for common factors is 10608.
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 = 64024708834944/(1x10608)
LCM = 64024708834944/10608
LCM = 6035511768
Thus, we can understand that the LCM of 372,748,376,663,923 is 6035511768.
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FAQs on LCM of 372, 748, 376, 663, 923
1. What is the LCM of 372, 748, 376, 663, 923?
Answer: LCM of 372, 748, 376, 663, 923 is 6035511768.
2. How to calculate the LCM of 372, 748, 376, 663, 923?
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 372, 748, 376, 663, 923.
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}.