LCM of 704, 374, 744, 407, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 374, 744, 407, 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 704, 374, 744, 407, 738. So, keep reading to learn more.
Given numbers are 704,374,744,407,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,374,744,407,738 is 5065372224.
Find LCM of 704,374,744,407,738 with Prime Factorization
| 2 | 704, 374, 744, 407, 738 |
| 2 | 352, 187, 372, 407, 369 |
| 2 | 176, 187, 186, 407, 369 |
| 3 | 88, 187, 93, 407, 369 |
| 11 | 88, 187, 31, 407, 123 |
| 8, 17, 31, 37, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 8 x 17 x 31 x 37 x 123 = 5065372224
Therefore, the lowest common multiple of 704,374,744,407,738 is 5065372224.
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.
704 x 374 x 744 x 407 x 738 = 58839363753984
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
374 : 1, 2, 11, 17, 22, 34, 187, 374
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
407 : 1, 11, 37, 407
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,374,744,407,738, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
374:2x 11x 17
744:2x 2x 2x 3x 31
407:11x 37
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 2x 2x 3x 11x 11 = 11616
Therefore, the value for common factors is 11616.
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 = 58839363753984/(1x11616)
LCM = 58839363753984/11616
LCM = 5065372224
Thus, we can understand that the LCM of 704,374,744,407,738 is 5065372224.
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FAQs on LCM of 704, 374, 744, 407, 738
1. What is the LCM of 704, 374, 744, 407, 738?
Answer: LCM of 704, 374, 744, 407, 738 is 5065372224.
2. How to calculate the LCM of 704, 374, 744, 407, 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 704, 374, 744, 407, 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}.