LCM of 707, 444, 770, 439, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 707, 444, 770, 439, 660 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 707, 444, 770, 439, 660. So, keep reading to learn more.
Given numbers are 707,444,770,439,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,444,770,439,660 is 7579308660.
Find LCM of 707,444,770,439,660 with Prime Factorization
| 2 | 707, 444, 770, 439, 660 |
| 2 | 707, 222, 385, 439, 330 |
| 3 | 707, 111, 385, 439, 165 |
| 5 | 707, 37, 385, 439, 55 |
| 7 | 707, 37, 77, 439, 11 |
| 11 | 101, 37, 11, 439, 11 |
| 101, 37, 1, 439, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 101 x 37 x 1 x 439 x 1 = 7579308660
Therefore, the lowest common multiple of 707,444,770,439,660 is 7579308660.
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.
707 x 444 x 770 x 439 x 660 = 70032812018400
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.
707 : 1, 7, 101, 707
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
439 : 1, 439
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,444,770,439,660, is 1.
Now, the common factors can be found like this.
707:7x 101
444:2x 2x 3x 37
770:2x 5x 7x 11
439:439
660:2x 2x 3x 5x 11
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 5x 7x 11 = 9240
Therefore, the value for common factors is 9240.
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 = 70032812018400/(1x9240)
LCM = 70032812018400/9240
LCM = 7579308660
Thus, we can understand that the LCM of 707,444,770,439,660 is 7579308660.
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FAQs on LCM of 707, 444, 770, 439, 660
1. What is the LCM of 707, 444, 770, 439, 660?
Answer: LCM of 707, 444, 770, 439, 660 is 7579308660.
2. How to calculate the LCM of 707, 444, 770, 439, 660?
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 707, 444, 770, 439, 660.
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}.