LCM of 960, 851, 713, 454, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 851, 713, 454, 788 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 960, 851, 713, 454, 788. So, keep reading to learn more.
Given numbers are 960,851,713,454,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,851,713,454,788 is 1132542661440.
Find LCM of 960,851,713,454,788 with Prime Factorization
| 2 | 960, 851, 713, 454, 788 |
| 2 | 480, 851, 713, 227, 394 |
| 23 | 240, 851, 713, 227, 197 |
| 240, 37, 31, 227, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 23 x 240 x 37 x 31 x 227 x 197 = 1132542661440
Therefore, the lowest common multiple of 960,851,713,454,788 is 1132542661440.
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.
960 x 851 x 713 x 454 x 788 = 208387849704960
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.
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
851 : 1, 23, 37, 851
713 : 1, 23, 31, 713
454 : 1, 2, 227, 454
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,851,713,454,788, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
851:23x 37
713:23x 31
454:2x 227
788:2x 2x 197
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 23 = 184
Therefore, the value for common factors is 184.
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 = 208387849704960/(1x184)
LCM = 208387849704960/184
LCM = 1132542661440
Thus, we can understand that the LCM of 960,851,713,454,788 is 1132542661440.
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FAQs on LCM of 960, 851, 713, 454, 788
1. What is the LCM of 960, 851, 713, 454, 788?
Answer: LCM of 960, 851, 713, 454, 788 is 1132542661440.
2. How to calculate the LCM of 960, 851, 713, 454, 788?
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 960, 851, 713, 454, 788.
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}.