LCM of 714, 496, 960, 765, 922
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 496, 960, 765, 922 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 714, 496, 960, 765, 922. So, keep reading to learn more.
Given numbers are 714,496,960,765,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,496,960,765,922 is 4897811520.
Find LCM of 714,496,960,765,922 with Prime Factorization
| 2 | 714, 496, 960, 765, 922 |
| 2 | 357, 248, 480, 765, 461 |
| 2 | 357, 124, 240, 765, 461 |
| 2 | 357, 62, 120, 765, 461 |
| 3 | 357, 31, 60, 765, 461 |
| 5 | 119, 31, 20, 255, 461 |
| 17 | 119, 31, 4, 51, 461 |
| 7, 31, 4, 3, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 17 x 7 x 31 x 4 x 3 x 461 = 4897811520
Therefore, the lowest common multiple of 714,496,960,765,922 is 4897811520.
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.
714 x 496 x 960 x 765 x 922 = 239796852019200
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,496,960,765,922, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
496:2x 2x 2x 2x 31
960:2x 2x 2x 2x 2x 2x 3x 5
765:3x 3x 5x 17
922:2x 461
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 2x 3x 3x 5x 17 = 48960
Therefore, the value for common factors is 48960.
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 = 239796852019200/(1x48960)
LCM = 239796852019200/48960
LCM = 4897811520
Thus, we can understand that the LCM of 714,496,960,765,922 is 4897811520.
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FAQs on LCM of 714, 496, 960, 765, 922
1. What is the LCM of 714, 496, 960, 765, 922?
Answer: LCM of 714, 496, 960, 765, 922 is 4897811520.
2. How to calculate the LCM of 714, 496, 960, 765, 922?
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 714, 496, 960, 765, 922.
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}.