LCM of 374, 720, 649, 277, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 720, 649, 277, 944 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 374, 720, 649, 277, 944. So, keep reading to learn more.
Given numbers are 374,720,649,277,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,720,649,277,944 is 2200421520.
Find LCM of 374,720,649,277,944 with Prime Factorization
| 2 | 374, 720, 649, 277, 944 |
| 2 | 187, 360, 649, 277, 472 |
| 2 | 187, 180, 649, 277, 236 |
| 2 | 187, 90, 649, 277, 118 |
| 11 | 187, 45, 649, 277, 59 |
| 59 | 17, 45, 59, 277, 59 |
| 17, 45, 1, 277, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 59 x 17 x 45 x 1 x 277 x 1 = 2200421520
Therefore, the lowest common multiple of 374,720,649,277,944 is 2200421520.
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.
374 x 720 x 649 x 277 x 944 = 45698354127360
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
649 : 1, 11, 59, 649
277 : 1, 277
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,720,649,277,944, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
720:2x 2x 2x 2x 3x 3x 5
649:11x 59
277:277
944:2x 2x 2x 2x 59
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 11x 59 = 20768
Therefore, the value for common factors is 20768.
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 = 45698354127360/(1x20768)
LCM = 45698354127360/20768
LCM = 2200421520
Thus, we can understand that the LCM of 374,720,649,277,944 is 2200421520.
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FAQs on LCM of 374, 720, 649, 277, 944
1. What is the LCM of 374, 720, 649, 277, 944?
Answer: LCM of 374, 720, 649, 277, 944 is 2200421520.
2. How to calculate the LCM of 374, 720, 649, 277, 944?
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 374, 720, 649, 277, 944.
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}.