LCM of 379, 758, 996, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 758, 996, 107 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 379, 758, 996, 107. So, keep reading to learn more.
Given numbers are 379,758,996,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,758,996,107 is 40390788.
Find LCM of 379,758,996,107 with Prime Factorization
| 2 | 379, 758, 996, 107 |
| 379 | 379, 379, 498, 107 |
| 1, 1, 498, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 379 x 1 x 1 x 498 x 107 = 40390788
Therefore, the lowest common multiple of 379,758,996,107 is 40390788.
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.
379 x 758 x 996 x 107 = 30616217304
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.
379 : 1, 379
758 : 1, 2, 379, 758
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,758,996,107, is 1.
Now, the common factors can be found like this.
379:379
758:2x 379
996:2x 2x 3x 83
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 379 = 758
Therefore, the value for common factors is 758.
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 = 30616217304/(1x758)
LCM = 30616217304/758
LCM = 40390788
Thus, we can understand that the LCM of 379,758,996,107 is 40390788.
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FAQs on LCM of 379, 758, 996, 107
1. What is the LCM of 379, 758, 996, 107?
Answer: LCM of 379, 758, 996, 107 is 40390788.
2. How to calculate the LCM of 379, 758, 996, 107?
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 379, 758, 996, 107.
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}.