LCM of 374, 720, 763, 440, 659
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 720, 763, 440, 659 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, 763, 440, 659. So, keep reading to learn more.
Given numbers are 374,720,763,440,659
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,720,763,440,659 is 67699280880.
Find LCM of 374,720,763,440,659 with Prime Factorization
| 2 | 374, 720, 763, 440, 659 |
| 2 | 187, 360, 763, 220, 659 |
| 2 | 187, 180, 763, 110, 659 |
| 5 | 187, 90, 763, 55, 659 |
| 11 | 187, 18, 763, 11, 659 |
| 17, 18, 763, 1, 659 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 17 x 18 x 763 x 1 x 659 = 67699280880
Therefore, the lowest common multiple of 374,720,763,440,659 is 67699280880.
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 763 x 440 x 659 = 59575367174400
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
763 : 1, 7, 109, 763
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
659 : 1, 659
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,720,763,440,659, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
720:2x 2x 2x 2x 3x 3x 5
763:7x 109
440:2x 2x 2x 5x 11
659:659
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 59575367174400/(1x880)
LCM = 59575367174400/880
LCM = 67699280880
Thus, we can understand that the LCM of 374,720,763,440,659 is 67699280880.
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FAQs on LCM of 374, 720, 763, 440, 659
1. What is the LCM of 374, 720, 763, 440, 659?
Answer: LCM of 374, 720, 763, 440, 659 is 67699280880.
2. How to calculate the LCM of 374, 720, 763, 440, 659?
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, 763, 440, 659.
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}.