LCM of 754, 372, 802, 354, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 372, 802, 354, 738 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 754, 372, 802, 354, 738. So, keep reading to learn more.
Given numbers are 754,372,802,354,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,372,802,354,738 is 408118033908.
Find LCM of 754,372,802,354,738 with Prime Factorization
| 2 | 754, 372, 802, 354, 738 |
| 3 | 377, 186, 401, 177, 369 |
| 377, 62, 401, 59, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 377 x 62 x 401 x 59 x 123 = 408118033908
Therefore, the lowest common multiple of 754,372,802,354,738 is 408118033908.
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.
754 x 372 x 802 x 354 x 738 = 58768996882752
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
802 : 1, 2, 401, 802
354 : 1, 2, 3, 6, 59, 118, 177, 354
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,372,802,354,738, is 2.
Now, the common factors can be found like this.
754:2x 13x 29
372:2x 2x 3x 31
802:2x 401
354:2x 3x 59
738:2x 3x 3x 41
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 3 = 72
Therefore, the value for common factors is 72.
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 = 58768996882752/(2x72)
LCM = 58768996882752/144
LCM = 408118033908
Thus, we can understand that the LCM of 754,372,802,354,738 is 408118033908.
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FAQs on LCM of 754, 372, 802, 354, 738
1. What is the LCM of 754, 372, 802, 354, 738?
Answer: LCM of 754, 372, 802, 354, 738 is 408118033908.
2. How to calculate the LCM of 754, 372, 802, 354, 738?
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 754, 372, 802, 354, 738.
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}.