LCM of 770, 960, 237, 549, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 960, 237, 549, 395 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 770, 960, 237, 549, 395. So, keep reading to learn more.
Given numbers are 770,960,237,549,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,960,237,549,395 is 1068661440.
Find LCM of 770,960,237,549,395 with Prime Factorization
| 2 | 770, 960, 237, 549, 395 |
| 3 | 385, 480, 237, 549, 395 |
| 5 | 385, 160, 79, 183, 395 |
| 79 | 77, 32, 79, 183, 79 |
| 77, 32, 1, 183, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 77 x 32 x 1 x 183 x 1 = 1068661440
Therefore, the lowest common multiple of 770,960,237,549,395 is 1068661440.
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.
770 x 960 x 237 x 549 x 395 = 37990914192000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
237 : 1, 3, 79, 237
549 : 1, 3, 9, 61, 183, 549
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,960,237,549,395, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
960:2x 2x 2x 2x 2x 2x 3x 5
237:3x 79
549:3x 3x 61
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 79 = 35550
Therefore, the value for common factors is 35550.
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 = 37990914192000/(1x35550)
LCM = 37990914192000/35550
LCM = 1068661440
Thus, we can understand that the LCM of 770,960,237,549,395 is 1068661440.
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FAQs on LCM of 770, 960, 237, 549, 395
1. What is the LCM of 770, 960, 237, 549, 395?
Answer: LCM of 770, 960, 237, 549, 395 is 1068661440.
2. How to calculate the LCM of 770, 960, 237, 549, 395?
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 770, 960, 237, 549, 395.
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}.